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Finding the Third Proportional to 132,700,494,969 and 292,449,576,559.50

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Solution

The third proportional to 132,700,494,969 and 292,449,576,559.50 is: 644,509,689,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,700,494,969 : 292,449,576,559.50 = 292,449,576,559.50 : x
  2. Step 2: Convert to fraction form
    132,700,494,969/292,449,576,559.50 = 292,449,576,559.50/x
  3. Step 3: Cross multiply
    132,700,494,969x = 292,449,576,559.50 × 292,449,576,559.50
  4. Step 4: Simplify right side
    132,700,494,969x = 85,526,754,829,830,845,366,272
  5. Step 5: Solve for x
    x = 85,526,754,829,830,845,366,272/132,700,494,969
  6. Step 6: Final answer
    x = 644,509,689,657.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.