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Finding the Third Proportional to 66,260 and 141,451

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Solution

The third proportional to 66,260 and 141,451 is: 301,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,260 : 141,451 = 141,451 : x
  2. Step 2: Convert to fraction form
    66,260/141,451 = 141,451/x
  3. Step 3: Cross multiply
    66,260x = 141,451 × 141,451
  4. Step 4: Simplify right side
    66,260x = 20,008,385,401
  5. Step 5: Solve for x
    x = 20,008,385,401/66,260
  6. Step 6: Final answer
    x = 301,967.78

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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.