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Finding the Third Proportional to 178,503 and 386,397

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Solution

The third proportional to 178,503 and 386,397 is: 836,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,503 : 386,397 = 386,397 : x
  2. Step 2: Convert to fraction form
    178,503/386,397 = 386,397/x
  3. Step 3: Cross multiply
    178,503x = 386,397 × 386,397
  4. Step 4: Simplify right side
    178,503x = 149,302,641,609
  5. Step 5: Solve for x
    x = 149,302,641,609/178,503
  6. Step 6: Final answer
    x = 836,415.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.