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Finding the Third Proportional to 243,278 and 387,402

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Solution

The third proportional to 243,278 and 387,402 is: 616,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,278 : 387,402 = 387,402 : x
  2. Step 2: Convert to fraction form
    243,278/387,402 = 387,402/x
  3. Step 3: Cross multiply
    243,278x = 387,402 × 387,402
  4. Step 4: Simplify right side
    243,278x = 150,080,309,604
  5. Step 5: Solve for x
    x = 150,080,309,604/243,278
  6. Step 6: Final answer
    x = 616,908.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.