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Finding the Third Proportional to 71,505 and 156,747

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Solution

The third proportional to 71,505 and 156,747 is: 343,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,505 : 156,747 = 156,747 : x
  2. Step 2: Convert to fraction form
    71,505/156,747 = 156,747/x
  3. Step 3: Cross multiply
    71,505x = 156,747 × 156,747
  4. Step 4: Simplify right side
    71,505x = 24,569,622,009
  5. Step 5: Solve for x
    x = 24,569,622,009/71,505
  6. Step 6: Final answer
    x = 343,607.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.