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Finding the Third Proportional to 69,087.50 and 148,769

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Solution

The third proportional to 69,087.50 and 148,769 is: 320,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,087.50 : 148,769 = 148,769 : x
  2. Step 2: Convert to fraction form
    69,087.50/148,769 = 148,769/x
  3. Step 3: Cross multiply
    69,087.50x = 148,769 × 148,769
  4. Step 4: Simplify right side
    69,087.50x = 22,132,215,361
  5. Step 5: Solve for x
    x = 22,132,215,361/69,087.50
  6. Step 6: Final answer
    x = 320,350.50

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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.