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Finding the Third Proportional to 66,438 and 105,651

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Solution

The third proportional to 66,438 and 105,651 is: 168,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,438 : 105,651 = 105,651 : x
  2. Step 2: Convert to fraction form
    66,438/105,651 = 105,651/x
  3. Step 3: Cross multiply
    66,438x = 105,651 × 105,651
  4. Step 4: Simplify right side
    66,438x = 11,162,133,801
  5. Step 5: Solve for x
    x = 11,162,133,801/66,438
  6. Step 6: Final answer
    x = 168,008.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.