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Finding the Third Proportional to 66,617 and 86,429

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Solution

The third proportional to 66,617 and 86,429 is: 112,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,617 : 86,429 = 86,429 : x
  2. Step 2: Convert to fraction form
    66,617/86,429 = 86,429/x
  3. Step 3: Cross multiply
    66,617x = 86,429 × 86,429
  4. Step 4: Simplify right side
    66,617x = 7,469,972,041
  5. Step 5: Solve for x
    x = 7,469,972,041/66,617
  6. Step 6: Final answer
    x = 112,133.12

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.