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Finding the Third Proportional to 54,478 and 85,605

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Solution

The third proportional to 54,478 and 85,605 is: 134,516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,478 : 85,605 = 85,605 : x
  2. Step 2: Convert to fraction form
    54,478/85,605 = 85,605/x
  3. Step 3: Cross multiply
    54,478x = 85,605 × 85,605
  4. Step 4: Simplify right side
    54,478x = 7,328,216,025
  5. Step 5: Solve for x
    x = 7,328,216,025/54,478
  6. Step 6: Final answer
    x = 134,516.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.