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Finding the Third Proportional to 642,482 and 940,683

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Solution

The third proportional to 642,482 and 940,683 is: 1,377,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,482 : 940,683 = 940,683 : x
  2. Step 2: Convert to fraction form
    642,482/940,683 = 940,683/x
  3. Step 3: Cross multiply
    642,482x = 940,683 × 940,683
  4. Step 4: Simplify right side
    642,482x = 884,884,506,489
  5. Step 5: Solve for x
    x = 884,884,506,489/642,482
  6. Step 6: Final answer
    x = 1,377,290.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.