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Finding the Third Proportional to 642,480 and 940,680

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Solution

The third proportional to 642,480 and 940,680 is: 1,377,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,480 : 940,680 = 940,680 : x
  2. Step 2: Convert to fraction form
    642,480/940,680 = 940,680/x
  3. Step 3: Cross multiply
    642,480x = 940,680 × 940,680
  4. Step 4: Simplify right side
    642,480x = 884,878,862,400
  5. Step 5: Solve for x
    x = 884,878,862,400/642,480
  6. Step 6: Final answer
    x = 1,377,286.24

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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.