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Finding the Third Proportional to 10,766,434.50 and 23,625,413

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Solution

The third proportional to 10,766,434.50 and 23,625,413 is: 51,842,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766,434.50 : 23,625,413 = 23,625,413 : x
  2. Step 2: Convert to fraction form
    10,766,434.50/23,625,413 = 23,625,413/x
  3. Step 3: Cross multiply
    10,766,434.50x = 23,625,413 × 23,625,413
  4. Step 4: Simplify right side
    10,766,434.50x = 558,160,139,420,569
  5. Step 5: Solve for x
    x = 558,160,139,420,569/10,766,434.50
  6. Step 6: Final answer
    x = 51,842,616.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.