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Finding the Third Proportional to 66,642 and 145,317

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Solution

The third proportional to 66,642 and 145,317 is: 316,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,642 : 145,317 = 145,317 : x
  2. Step 2: Convert to fraction form
    66,642/145,317 = 145,317/x
  3. Step 3: Cross multiply
    66,642x = 145,317 × 145,317
  4. Step 4: Simplify right side
    66,642x = 21,117,030,489
  5. Step 5: Solve for x
    x = 21,117,030,489/66,642
  6. Step 6: Final answer
    x = 316,872.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.