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Finding the Third Proportional to 131,384 and 282,451

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Solution

The third proportional to 131,384 and 282,451 is: 607,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,384 : 282,451 = 282,451 : x
  2. Step 2: Convert to fraction form
    131,384/282,451 = 282,451/x
  3. Step 3: Cross multiply
    131,384x = 282,451 × 282,451
  4. Step 4: Simplify right side
    131,384x = 79,778,567,401
  5. Step 5: Solve for x
    x = 79,778,567,401/131,384
  6. Step 6: Final answer
    x = 607,216.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.