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Finding the Third Proportional to 71,381 and 153,724

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Solution

The third proportional to 71,381 and 153,724 is: 331,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,381 : 153,724 = 153,724 : x
  2. Step 2: Convert to fraction form
    71,381/153,724 = 153,724/x
  3. Step 3: Cross multiply
    71,381x = 153,724 × 153,724
  4. Step 4: Simplify right side
    71,381x = 23,631,068,176
  5. Step 5: Solve for x
    x = 23,631,068,176/71,381
  6. Step 6: Final answer
    x = 331,055.44

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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.