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Finding the Third Proportional to 398,426 and 863,224

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Solution

The third proportional to 398,426 and 863,224 is: 1,870,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,426 : 863,224 = 863,224 : x
  2. Step 2: Convert to fraction form
    398,426/863,224 = 863,224/x
  3. Step 3: Cross multiply
    398,426x = 863,224 × 863,224
  4. Step 4: Simplify right side
    398,426x = 745,155,674,176
  5. Step 5: Solve for x
    x = 745,155,674,176/398,426
  6. Step 6: Final answer
    x = 1,870,248.61

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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.