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Finding the Third Proportional to 132,700,491,810 and 292,449,570,124

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Solution

The third proportional to 132,700,491,810 and 292,449,570,124 is: 644,509,676,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,700,491,810 : 292,449,570,124 = 292,449,570,124 : x
  2. Step 2: Convert to fraction form
    132,700,491,810/292,449,570,124 = 292,449,570,124/x
  3. Step 3: Cross multiply
    132,700,491,810x = 292,449,570,124 × 292,449,570,124
  4. Step 4: Simplify right side
    132,700,491,810x = 85,526,751,065,712,397,123,584
  5. Step 5: Solve for x
    x = 85,526,751,065,712,397,123,584/132,700,491,810
  6. Step 6: Final answer
    x = 644,509,676,634.58

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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.