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Finding the Third Proportional to 641,728 and 986,468

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Solution

The third proportional to 641,728 and 986,468 is: 1,516,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,728 : 986,468 = 986,468 : x
  2. Step 2: Convert to fraction form
    641,728/986,468 = 986,468/x
  3. Step 3: Cross multiply
    641,728x = 986,468 × 986,468
  4. Step 4: Simplify right side
    641,728x = 973,119,115,024
  5. Step 5: Solve for x
    x = 973,119,115,024/641,728
  6. Step 6: Final answer
    x = 1,516,404.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.