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Finding the Third Proportional to 387,466 and 849,694

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Solution

The third proportional to 387,466 and 849,694 is: 1,863,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,466 : 849,694 = 849,694 : x
  2. Step 2: Convert to fraction form
    387,466/849,694 = 849,694/x
  3. Step 3: Cross multiply
    387,466x = 849,694 × 849,694
  4. Step 4: Simplify right side
    387,466x = 721,979,893,636
  5. Step 5: Solve for x
    x = 721,979,893,636/387,466
  6. Step 6: Final answer
    x = 1,863,337.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.