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Finding the Third Proportional to 408,098 and 634,035

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Solution

The third proportional to 408,098 and 634,035 is: 985,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,098 : 634,035 = 634,035 : x
  2. Step 2: Convert to fraction form
    408,098/634,035 = 634,035/x
  3. Step 3: Cross multiply
    408,098x = 634,035 × 634,035
  4. Step 4: Simplify right side
    408,098x = 402,000,381,225
  5. Step 5: Solve for x
    x = 402,000,381,225/408,098
  6. Step 6: Final answer
    x = 985,058.44

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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.