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Finding the Third Proportional to 66,480 and 143,398

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Solution

The third proportional to 66,480 and 143,398 is: 309,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,480 : 143,398 = 143,398 : x
  2. Step 2: Convert to fraction form
    66,480/143,398 = 143,398/x
  3. Step 3: Cross multiply
    66,480x = 143,398 × 143,398
  4. Step 4: Simplify right side
    66,480x = 20,562,986,404
  5. Step 5: Solve for x
    x = 20,562,986,404/66,480
  6. Step 6: Final answer
    x = 309,310.87

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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.