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Finding the Third Proportional to 66,259 and 132,464

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Solution

The third proportional to 66,259 and 132,464 is: 264,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,259 : 132,464 = 132,464 : x
  2. Step 2: Convert to fraction form
    66,259/132,464 = 132,464/x
  3. Step 3: Cross multiply
    66,259x = 132,464 × 132,464
  4. Step 4: Simplify right side
    66,259x = 17,546,711,296
  5. Step 5: Solve for x
    x = 17,546,711,296/66,259
  6. Step 6: Final answer
    x = 264,820.04

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.