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Finding the Third Proportional to 412,119 and 868,518

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Solution

The third proportional to 412,119 and 868,518 is: 1,830,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,119 : 868,518 = 868,518 : x
  2. Step 2: Convert to fraction form
    412,119/868,518 = 868,518/x
  3. Step 3: Cross multiply
    412,119x = 868,518 × 868,518
  4. Step 4: Simplify right side
    412,119x = 754,323,516,324
  5. Step 5: Solve for x
    x = 754,323,516,324/412,119
  6. Step 6: Final answer
    x = 1,830,353.65

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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.