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Finding the Third Proportional to 142,398 and 221,373

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Solution

The third proportional to 142,398 and 221,373 is: 344,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,398 : 221,373 = 221,373 : x
  2. Step 2: Convert to fraction form
    142,398/221,373 = 221,373/x
  3. Step 3: Cross multiply
    142,398x = 221,373 × 221,373
  4. Step 4: Simplify right side
    142,398x = 49,006,005,129
  5. Step 5: Solve for x
    x = 49,006,005,129/142,398
  6. Step 6: Final answer
    x = 344,148.13

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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.