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Finding the Third Proportional to 387,124 and 809,716

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Solution

The third proportional to 387,124 and 809,716 is: 1,693,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,124 : 809,716 = 809,716 : x
  2. Step 2: Convert to fraction form
    387,124/809,716 = 809,716/x
  3. Step 3: Cross multiply
    387,124x = 809,716 × 809,716
  4. Step 4: Simplify right side
    387,124x = 655,640,000,656
  5. Step 5: Solve for x
    x = 655,640,000,656/387,124
  6. Step 6: Final answer
    x = 1,693,617.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.