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Finding the Third Proportional to 71,385 and 153,732

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Solution

The third proportional to 71,385 and 153,732 is: 331,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385 : 153,732 = 153,732 : x
  2. Step 2: Convert to fraction form
    71,385/153,732 = 153,732/x
  3. Step 3: Cross multiply
    71,385x = 153,732 × 153,732
  4. Step 4: Simplify right side
    71,385x = 23,633,527,824
  5. Step 5: Solve for x
    x = 23,633,527,824/71,385
  6. Step 6: Final answer
    x = 331,071.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.