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Finding the Third Proportional to 555,428 and 840,930

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Solution

The third proportional to 555,428 and 840,930 is: 1,273,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,428 : 840,930 = 840,930 : x
  2. Step 2: Convert to fraction form
    555,428/840,930 = 840,930/x
  3. Step 3: Cross multiply
    555,428x = 840,930 × 840,930
  4. Step 4: Simplify right side
    555,428x = 707,163,264,900
  5. Step 5: Solve for x
    x = 707,163,264,900/555,428
  6. Step 6: Final answer
    x = 1,273,186.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.