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Finding the Third Proportional to 175,792 and 387,440

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Solution

The third proportional to 175,792 and 387,440 is: 853,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,792 : 387,440 = 387,440 : x
  2. Step 2: Convert to fraction form
    175,792/387,440 = 387,440/x
  3. Step 3: Cross multiply
    175,792x = 387,440 × 387,440
  4. Step 4: Simplify right side
    175,792x = 150,109,753,600
  5. Step 5: Solve for x
    x = 150,109,753,600/175,792
  6. Step 6: Final answer
    x = 853,905.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.