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Finding the Third Proportional to 387,778 and 579,327

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Solution

The third proportional to 387,778 and 579,327 is: 865,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,778 : 579,327 = 579,327 : x
  2. Step 2: Convert to fraction form
    387,778/579,327 = 579,327/x
  3. Step 3: Cross multiply
    387,778x = 579,327 × 579,327
  4. Step 4: Simplify right side
    387,778x = 335,619,772,929
  5. Step 5: Solve for x
    x = 335,619,772,929/387,778
  6. Step 6: Final answer
    x = 865,494.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.