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Finding the Third Proportional to 148,031 and 349,215

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Solution

The third proportional to 148,031 and 349,215 is: 823,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,031 : 349,215 = 349,215 : x
  2. Step 2: Convert to fraction form
    148,031/349,215 = 349,215/x
  3. Step 3: Cross multiply
    148,031x = 349,215 × 349,215
  4. Step 4: Simplify right side
    148,031x = 121,951,116,225
  5. Step 5: Solve for x
    x = 121,951,116,225/148,031
  6. Step 6: Final answer
    x = 823,821.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.