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Finding the Third Proportional to 66,241 and 143,478

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Solution

The third proportional to 66,241 and 143,478 is: 310,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,241 : 143,478 = 143,478 : x
  2. Step 2: Convert to fraction form
    66,241/143,478 = 143,478/x
  3. Step 3: Cross multiply
    66,241x = 143,478 × 143,478
  4. Step 4: Simplify right side
    66,241x = 20,585,936,484
  5. Step 5: Solve for x
    x = 20,585,936,484/66,241
  6. Step 6: Final answer
    x = 310,773.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.