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Finding the Third Proportional to 51,576,472.50 and 77,160,478.50

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Solution

The third proportional to 51,576,472.50 and 77,160,478.50 is: 115,435,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,576,472.50 : 77,160,478.50 = 77,160,478.50 : x
  2. Step 2: Convert to fraction form
    51,576,472.50/77,160,478.50 = 77,160,478.50/x
  3. Step 3: Cross multiply
    51,576,472.50x = 77,160,478.50 × 77,160,478.50
  4. Step 4: Simplify right side
    51,576,472.50x = 5,953,739,442,348,962
  5. Step 5: Solve for x
    x = 5,953,739,442,348,962/51,576,472.50
  6. Step 6: Final answer
    x = 115,435,181.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.