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Finding the Third Proportional to 66,858 and 145,380

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Solution

The third proportional to 66,858 and 145,380 is: 316,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,858 : 145,380 = 145,380 : x
  2. Step 2: Convert to fraction form
    66,858/145,380 = 145,380/x
  3. Step 3: Cross multiply
    66,858x = 145,380 × 145,380
  4. Step 4: Simplify right side
    66,858x = 21,135,344,400
  5. Step 5: Solve for x
    x = 21,135,344,400/66,858
  6. Step 6: Final answer
    x = 316,122.89

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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.