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Finding the Third Proportional to 410,138 and 878,596

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Solution

The third proportional to 410,138 and 878,596 is: 1,882,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,138 : 878,596 = 878,596 : x
  2. Step 2: Convert to fraction form
    410,138/878,596 = 878,596/x
  3. Step 3: Cross multiply
    410,138x = 878,596 × 878,596
  4. Step 4: Simplify right side
    410,138x = 771,930,931,216
  5. Step 5: Solve for x
    x = 771,930,931,216/410,138
  6. Step 6: Final answer
    x = 1,882,124.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.