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Finding the Third Proportional to 478,290 and 649,908

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Solution

The third proportional to 478,290 and 649,908 is: 883,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,290 : 649,908 = 649,908 : x
  2. Step 2: Convert to fraction form
    478,290/649,908 = 649,908/x
  3. Step 3: Cross multiply
    478,290x = 649,908 × 649,908
  4. Step 4: Simplify right side
    478,290x = 422,380,408,464
  5. Step 5: Solve for x
    x = 422,380,408,464/478,290
  6. Step 6: Final answer
    x = 883,105.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.