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Finding the Third Proportional to 412,150 and 868,580

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Solution

The third proportional to 412,150 and 868,580 is: 1,830,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,150 : 868,580 = 868,580 : x
  2. Step 2: Convert to fraction form
    412,150/868,580 = 868,580/x
  3. Step 3: Cross multiply
    412,150x = 868,580 × 868,580
  4. Step 4: Simplify right side
    412,150x = 754,431,216,400
  5. Step 5: Solve for x
    x = 754,431,216,400/412,150
  6. Step 6: Final answer
    x = 1,830,477.29

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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.