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Finding the Third Proportional to 66,514 and 145,962

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Solution

The third proportional to 66,514 and 145,962 is: 320,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,514 : 145,962 = 145,962 : x
  2. Step 2: Convert to fraction form
    66,514/145,962 = 145,962/x
  3. Step 3: Cross multiply
    66,514x = 145,962 × 145,962
  4. Step 4: Simplify right side
    66,514x = 21,304,905,444
  5. Step 5: Solve for x
    x = 21,304,905,444/66,514
  6. Step 6: Final answer
    x = 320,307.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.