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Finding the Third Proportional to 42,585 and 87,903

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Solution

The third proportional to 42,585 and 87,903 is: 181,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,585 : 87,903 = 87,903 : x
  2. Step 2: Convert to fraction form
    42,585/87,903 = 87,903/x
  3. Step 3: Cross multiply
    42,585x = 87,903 × 87,903
  4. Step 4: Simplify right side
    42,585x = 7,726,937,409
  5. Step 5: Solve for x
    x = 7,726,937,409/42,585
  6. Step 6: Final answer
    x = 181,447.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.