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Finding the Third Proportional to 142,400 and 221,376

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Solution

The third proportional to 142,400 and 221,376 is: 344,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,400 : 221,376 = 221,376 : x
  2. Step 2: Convert to fraction form
    142,400/221,376 = 221,376/x
  3. Step 3: Cross multiply
    142,400x = 221,376 × 221,376
  4. Step 4: Simplify right side
    142,400x = 49,007,333,376
  5. Step 5: Solve for x
    x = 49,007,333,376/142,400
  6. Step 6: Final answer
    x = 344,152.62

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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.