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Finding the Third Proportional to 39,454.50 and 85,470

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Solution

The third proportional to 39,454.50 and 85,470 is: 185,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,454.50 : 85,470 = 85,470 : x
  2. Step 2: Convert to fraction form
    39,454.50/85,470 = 85,470/x
  3. Step 3: Cross multiply
    39,454.50x = 85,470 × 85,470
  4. Step 4: Simplify right side
    39,454.50x = 7,305,120,900
  5. Step 5: Solve for x
    x = 7,305,120,900/39,454.50
  6. Step 6: Final answer
    x = 185,153.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.