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Finding the Third Proportional to 142,462 and 220,578

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Solution

The third proportional to 142,462 and 220,578 is: 341,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,462 : 220,578 = 220,578 : x
  2. Step 2: Convert to fraction form
    142,462/220,578 = 220,578/x
  3. Step 3: Cross multiply
    142,462x = 220,578 × 220,578
  4. Step 4: Simplify right side
    142,462x = 48,654,654,084
  5. Step 5: Solve for x
    x = 48,654,654,084/142,462
  6. Step 6: Final answer
    x = 341,527.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.