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Finding the Third Proportional to 398,432 and 863,236

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Solution

The third proportional to 398,432 and 863,236 is: 1,870,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,432 : 863,236 = 863,236 : x
  2. Step 2: Convert to fraction form
    398,432/863,236 = 863,236/x
  3. Step 3: Cross multiply
    398,432x = 863,236 × 863,236
  4. Step 4: Simplify right side
    398,432x = 745,176,391,696
  5. Step 5: Solve for x
    x = 745,176,391,696/398,432
  6. Step 6: Final answer
    x = 1,870,272.45

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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.