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Finding the Third Proportional to 398,028 and 840,981

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Solution

The third proportional to 398,028 and 840,981 is: 1,776,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,028 : 840,981 = 840,981 : x
  2. Step 2: Convert to fraction form
    398,028/840,981 = 840,981/x
  3. Step 3: Cross multiply
    398,028x = 840,981 × 840,981
  4. Step 4: Simplify right side
    398,028x = 707,249,042,361
  5. Step 5: Solve for x
    x = 707,249,042,361/398,028
  6. Step 6: Final answer
    x = 1,776,882.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.