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Finding the Third Proportional to 40,782 and 86,463

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Solution

The third proportional to 40,782 and 86,463 is: 183,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,782 : 86,463 = 86,463 : x
  2. Step 2: Convert to fraction form
    40,782/86,463 = 86,463/x
  3. Step 3: Cross multiply
    40,782x = 86,463 × 86,463
  4. Step 4: Simplify right side
    40,782x = 7,475,850,369
  5. Step 5: Solve for x
    x = 7,475,850,369/40,782
  6. Step 6: Final answer
    x = 183,312.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.