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Finding the Third Proportional to 176,388 and 387,894

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Solution

The third proportional to 176,388 and 387,894 is: 853,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,388 : 387,894 = 387,894 : x
  2. Step 2: Convert to fraction form
    176,388/387,894 = 387,894/x
  3. Step 3: Cross multiply
    176,388x = 387,894 × 387,894
  4. Step 4: Simplify right side
    176,388x = 150,461,755,236
  5. Step 5: Solve for x
    x = 150,461,755,236/176,388
  6. Step 6: Final answer
    x = 853,015.82

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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.