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Finding the Third Proportional to 176,258 and 387,508

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Solution

The third proportional to 176,258 and 387,508 is: 851,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,258 : 387,508 = 387,508 : x
  2. Step 2: Convert to fraction form
    176,258/387,508 = 387,508/x
  3. Step 3: Cross multiply
    176,258x = 387,508 × 387,508
  4. Step 4: Simplify right side
    176,258x = 150,162,450,064
  5. Step 5: Solve for x
    x = 150,162,450,064/176,258
  6. Step 6: Final answer
    x = 851,946.86

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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.