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Finding the Third Proportional to 71,502 and 156,828

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Solution

The third proportional to 71,502 and 156,828 is: 343,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502 : 156,828 = 156,828 : x
  2. Step 2: Convert to fraction form
    71,502/156,828 = 156,828/x
  3. Step 3: Cross multiply
    71,502x = 156,828 × 156,828
  4. Step 4: Simplify right side
    71,502x = 24,595,021,584
  5. Step 5: Solve for x
    x = 24,595,021,584/71,502
  6. Step 6: Final answer
    x = 343,976.69

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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.