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Finding the Third Proportional to 87,562.50 and 138,674.25

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Solution

The third proportional to 87,562.50 and 138,674.25 is: 219,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,562.50 : 138,674.25 = 138,674.25 : x
  2. Step 2: Convert to fraction form
    87,562.50/138,674.25 = 138,674.25/x
  3. Step 3: Cross multiply
    87,562.50x = 138,674.25 × 138,674.25
  4. Step 4: Simplify right side
    87,562.50x = 19,230,547,613.06
  5. Step 5: Solve for x
    x = 19,230,547,613.06/87,562.50
  6. Step 6: Final answer
    x = 219,620.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.