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Finding the Third Proportional to 309,908 and 478,878

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Solution

The third proportional to 309,908 and 478,878 is: 739,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,908 : 478,878 = 478,878 : x
  2. Step 2: Convert to fraction form
    309,908/478,878 = 478,878/x
  3. Step 3: Cross multiply
    309,908x = 478,878 × 478,878
  4. Step 4: Simplify right side
    309,908x = 229,324,138,884
  5. Step 5: Solve for x
    x = 229,324,138,884/309,908
  6. Step 6: Final answer
    x = 739,974.89

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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.