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Finding the Third Proportional to 410,238 and 861,948

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Solution

The third proportional to 410,238 and 861,948 is: 1,811,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,238 : 861,948 = 861,948 : x
  2. Step 2: Convert to fraction form
    410,238/861,948 = 861,948/x
  3. Step 3: Cross multiply
    410,238x = 861,948 × 861,948
  4. Step 4: Simplify right side
    410,238x = 742,954,354,704
  5. Step 5: Solve for x
    x = 742,954,354,704/410,238
  6. Step 6: Final answer
    x = 1,811,032.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.