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Finding the Third Proportional to 66,418 and 143,330

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Solution

The third proportional to 66,418 and 143,330 is: 309,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,418 : 143,330 = 143,330 : x
  2. Step 2: Convert to fraction form
    66,418/143,330 = 143,330/x
  3. Step 3: Cross multiply
    66,418x = 143,330 × 143,330
  4. Step 4: Simplify right side
    66,418x = 20,543,488,900
  5. Step 5: Solve for x
    x = 20,543,488,900/66,418
  6. Step 6: Final answer
    x = 309,306.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.