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Finding the Third Proportional to 66,080 and 141,376

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Solution

The third proportional to 66,080 and 141,376 is: 302,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,080 : 141,376 = 141,376 : x
  2. Step 2: Convert to fraction form
    66,080/141,376 = 141,376/x
  3. Step 3: Cross multiply
    66,080x = 141,376 × 141,376
  4. Step 4: Simplify right side
    66,080x = 19,987,173,376
  5. Step 5: Solve for x
    x = 19,987,173,376/66,080
  6. Step 6: Final answer
    x = 302,469.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.