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Finding the Third Proportional to 87,723 and 185,409

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Solution

The third proportional to 87,723 and 185,409 is: 391,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,723 : 185,409 = 185,409 : x
  2. Step 2: Convert to fraction form
    87,723/185,409 = 185,409/x
  3. Step 3: Cross multiply
    87,723x = 185,409 × 185,409
  4. Step 4: Simplify right side
    87,723x = 34,376,497,281
  5. Step 5: Solve for x
    x = 34,376,497,281/87,723
  6. Step 6: Final answer
    x = 391,875.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.