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Finding the Third Proportional to 380,292 and 814,569

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Solution

The third proportional to 380,292 and 814,569 is: 1,744,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,292 : 814,569 = 814,569 : x
  2. Step 2: Convert to fraction form
    380,292/814,569 = 814,569/x
  3. Step 3: Cross multiply
    380,292x = 814,569 × 814,569
  4. Step 4: Simplify right side
    380,292x = 663,522,655,761
  5. Step 5: Solve for x
    x = 663,522,655,761/380,292
  6. Step 6: Final answer
    x = 1,744,771.53

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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.