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Finding the Third Proportional to 142,474 and 221,483

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Solution

The third proportional to 142,474 and 221,483 is: 344,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,474 : 221,483 = 221,483 : x
  2. Step 2: Convert to fraction form
    142,474/221,483 = 221,483/x
  3. Step 3: Cross multiply
    142,474x = 221,483 × 221,483
  4. Step 4: Simplify right side
    142,474x = 49,054,719,289
  5. Step 5: Solve for x
    x = 49,054,719,289/142,474
  6. Step 6: Final answer
    x = 344,306.46

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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.