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Finding the Third Proportional to 616,898 and 840,419

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Solution

The third proportional to 616,898 and 840,419 is: 1,144,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,898 : 840,419 = 840,419 : x
  2. Step 2: Convert to fraction form
    616,898/840,419 = 840,419/x
  3. Step 3: Cross multiply
    616,898x = 840,419 × 840,419
  4. Step 4: Simplify right side
    616,898x = 706,304,095,561
  5. Step 5: Solve for x
    x = 706,304,095,561/616,898
  6. Step 6: Final answer
    x = 1,144,928.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.