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Finding the Third Proportional to 40,010 and 66,687

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Solution

The third proportional to 40,010 and 66,687 is: 111,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,010 : 66,687 = 66,687 : x
  2. Step 2: Convert to fraction form
    40,010/66,687 = 66,687/x
  3. Step 3: Cross multiply
    40,010x = 66,687 × 66,687
  4. Step 4: Simplify right side
    40,010x = 4,447,155,969
  5. Step 5: Solve for x
    x = 4,447,155,969/40,010
  6. Step 6: Final answer
    x = 111,151.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.