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Finding the Third Proportional to 56,918.50 and 85,561

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Solution

The third proportional to 56,918.50 and 85,561 is: 128,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,918.50 : 85,561 = 85,561 : x
  2. Step 2: Convert to fraction form
    56,918.50/85,561 = 85,561/x
  3. Step 3: Cross multiply
    56,918.50x = 85,561 × 85,561
  4. Step 4: Simplify right side
    56,918.50x = 7,320,684,721
  5. Step 5: Solve for x
    x = 7,320,684,721/56,918.50
  6. Step 6: Final answer
    x = 128,616.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.