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Finding the Third Proportional to 140,472 and 220,121

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Solution

The third proportional to 140,472 and 220,121 is: 344,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,472 : 220,121 = 220,121 : x
  2. Step 2: Convert to fraction form
    140,472/220,121 = 220,121/x
  3. Step 3: Cross multiply
    140,472x = 220,121 × 220,121
  4. Step 4: Simplify right side
    140,472x = 48,453,254,641
  5. Step 5: Solve for x
    x = 48,453,254,641/140,472
  6. Step 6: Final answer
    x = 344,931.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.