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Finding the Third Proportional to 80,069 and 124,639

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Solution

The third proportional to 80,069 and 124,639 is: 194,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,069 : 124,639 = 124,639 : x
  2. Step 2: Convert to fraction form
    80,069/124,639 = 124,639/x
  3. Step 3: Cross multiply
    80,069x = 124,639 × 124,639
  4. Step 4: Simplify right side
    80,069x = 15,534,880,321
  5. Step 5: Solve for x
    x = 15,534,880,321/80,069
  6. Step 6: Final answer
    x = 194,018.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.