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Finding the Third Proportional to 142,468 and 221,478

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Solution

The third proportional to 142,468 and 221,478 is: 344,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,468 : 221,478 = 221,478 : x
  2. Step 2: Convert to fraction form
    142,468/221,478 = 221,478/x
  3. Step 3: Cross multiply
    142,468x = 221,478 × 221,478
  4. Step 4: Simplify right side
    142,468x = 49,052,504,484
  5. Step 5: Solve for x
    x = 49,052,504,484/142,468
  6. Step 6: Final answer
    x = 344,305.42

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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.