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Finding the Third Proportional to 398,428 and 863,228

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Solution

The third proportional to 398,428 and 863,228 is: 1,870,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,428 : 863,228 = 863,228 : x
  2. Step 2: Convert to fraction form
    398,428/863,228 = 863,228/x
  3. Step 3: Cross multiply
    398,428x = 863,228 × 863,228
  4. Step 4: Simplify right side
    398,428x = 745,162,579,984
  5. Step 5: Solve for x
    x = 745,162,579,984/398,428
  6. Step 6: Final answer
    x = 1,870,256.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.