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Finding the Third Proportional to 318,944 and 687,040

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Solution

The third proportional to 318,944 and 687,040 is: 1,479,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,944 : 687,040 = 687,040 : x
  2. Step 2: Convert to fraction form
    318,944/687,040 = 687,040/x
  3. Step 3: Cross multiply
    318,944x = 687,040 × 687,040
  4. Step 4: Simplify right side
    318,944x = 472,023,961,600
  5. Step 5: Solve for x
    x = 472,023,961,600/318,944
  6. Step 6: Final answer
    x = 1,479,958.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.