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Finding the Third Proportional to 40,382 and 86,069

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Solution

The third proportional to 40,382 and 86,069 is: 183,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,382 : 86,069 = 86,069 : x
  2. Step 2: Convert to fraction form
    40,382/86,069 = 86,069/x
  3. Step 3: Cross multiply
    40,382x = 86,069 × 86,069
  4. Step 4: Simplify right side
    40,382x = 7,407,872,761
  5. Step 5: Solve for x
    x = 7,407,872,761/40,382
  6. Step 6: Final answer
    x = 183,444.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.