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Finding the Third Proportional to 40,069 and 66,737

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Solution

The third proportional to 40,069 and 66,737 is: 111,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,069 : 66,737 = 66,737 : x
  2. Step 2: Convert to fraction form
    40,069/66,737 = 66,737/x
  3. Step 3: Cross multiply
    40,069x = 66,737 × 66,737
  4. Step 4: Simplify right side
    40,069x = 4,453,827,169
  5. Step 5: Solve for x
    x = 4,453,827,169/40,069
  6. Step 6: Final answer
    x = 111,153.94

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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.