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Finding the Third Proportional to 39,458 and 85,602

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Solution

The third proportional to 39,458 and 85,602 is: 185,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,458 : 85,602 = 85,602 : x
  2. Step 2: Convert to fraction form
    39,458/85,602 = 85,602/x
  3. Step 3: Cross multiply
    39,458x = 85,602 × 85,602
  4. Step 4: Simplify right side
    39,458x = 7,327,702,404
  5. Step 5: Solve for x
    x = 7,327,702,404/39,458
  6. Step 6: Final answer
    x = 185,708.92

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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.