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Finding the Third Proportional to 71,755 and 149,411

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Solution

The third proportional to 71,755 and 149,411 is: 311,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,755 : 149,411 = 149,411 : x
  2. Step 2: Convert to fraction form
    71,755/149,411 = 149,411/x
  3. Step 3: Cross multiply
    71,755x = 149,411 × 149,411
  4. Step 4: Simplify right side
    71,755x = 22,323,646,921
  5. Step 5: Solve for x
    x = 22,323,646,921/71,755
  6. Step 6: Final answer
    x = 311,109.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.