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Finding the Third Proportional to 229,230 and 299,538

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Solution

The third proportional to 229,230 and 299,538 is: 391,410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,230 : 299,538 = 299,538 : x
  2. Step 2: Convert to fraction form
    229,230/299,538 = 299,538/x
  3. Step 3: Cross multiply
    229,230x = 299,538 × 299,538
  4. Step 4: Simplify right side
    229,230x = 89,723,013,444
  5. Step 5: Solve for x
    x = 89,723,013,444/229,230
  6. Step 6: Final answer
    x = 391,410.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.