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Finding the Third Proportional to 55,459 and 85,331

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Solution

The third proportional to 55,459 and 85,331 is: 131,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,459 : 85,331 = 85,331 : x
  2. Step 2: Convert to fraction form
    55,459/85,331 = 85,331/x
  3. Step 3: Cross multiply
    55,459x = 85,331 × 85,331
  4. Step 4: Simplify right side
    55,459x = 7,281,379,561
  5. Step 5: Solve for x
    x = 7,281,379,561/55,459
  6. Step 6: Final answer
    x = 131,293.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.