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Finding the Third Proportional to 71,469 and 152,430.75

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Solution

The third proportional to 71,469 and 152,430.75 is: 325,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,469 : 152,430.75 = 152,430.75 : x
  2. Step 2: Convert to fraction form
    71,469/152,430.75 = 152,430.75/x
  3. Step 3: Cross multiply
    71,469x = 152,430.75 × 152,430.75
  4. Step 4: Simplify right side
    71,469x = 23,235,133,545.56
  5. Step 5: Solve for x
    x = 23,235,133,545.56/71,469
  6. Step 6: Final answer
    x = 325,107.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.