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Finding the Third Proportional to 228,214 and 486,959

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Solution

The third proportional to 228,214 and 486,959 is: 1,039,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,214 : 486,959 = 486,959 : x
  2. Step 2: Convert to fraction form
    228,214/486,959 = 486,959/x
  3. Step 3: Cross multiply
    228,214x = 486,959 × 486,959
  4. Step 4: Simplify right side
    228,214x = 237,129,067,681
  5. Step 5: Solve for x
    x = 237,129,067,681/228,214
  6. Step 6: Final answer
    x = 1,039,064.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.