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Finding the Third Proportional to 159,429 and 243,381

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Solution

The third proportional to 159,429 and 243,381 is: 371,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,429 : 243,381 = 243,381 : x
  2. Step 2: Convert to fraction form
    159,429/243,381 = 243,381/x
  3. Step 3: Cross multiply
    159,429x = 243,381 × 243,381
  4. Step 4: Simplify right side
    159,429x = 59,234,311,161
  5. Step 5: Solve for x
    x = 59,234,311,161/159,429
  6. Step 6: Final answer
    x = 371,540.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.