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Finding the Third Proportional to 315,946 and 409,873

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Solution

The third proportional to 315,946 and 409,873 is: 531,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,946 : 409,873 = 409,873 : x
  2. Step 2: Convert to fraction form
    315,946/409,873 = 409,873/x
  3. Step 3: Cross multiply
    315,946x = 409,873 × 409,873
  4. Step 4: Simplify right side
    315,946x = 167,995,876,129
  5. Step 5: Solve for x
    x = 167,995,876,129/315,946
  6. Step 6: Final answer
    x = 531,723.38

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.