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Finding the Third Proportional to 40,403 and 87,259

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Solution

The third proportional to 40,403 and 87,259 is: 188,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,403 : 87,259 = 87,259 : x
  2. Step 2: Convert to fraction form
    40,403/87,259 = 87,259/x
  3. Step 3: Cross multiply
    40,403x = 87,259 × 87,259
  4. Step 4: Simplify right side
    40,403x = 7,614,133,081
  5. Step 5: Solve for x
    x = 7,614,133,081/40,403
  6. Step 6: Final answer
    x = 188,454.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.