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Finding the Third Proportional to 412,945.50 and 914,329.50

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Solution

The third proportional to 412,945.50 and 914,329.50 is: 2,024,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,945.50 : 914,329.50 = 914,329.50 : x
  2. Step 2: Convert to fraction form
    412,945.50/914,329.50 = 914,329.50/x
  3. Step 3: Cross multiply
    412,945.50x = 914,329.50 × 914,329.50
  4. Step 4: Simplify right side
    412,945.50x = 835,998,434,570.25
  5. Step 5: Solve for x
    x = 835,998,434,570.25/412,945.50
  6. Step 6: Final answer
    x = 2,024,476.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.