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Finding the Third Proportional to 370,217 and 769,531

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Solution

The third proportional to 370,217 and 769,531 is: 1,599,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,217 : 769,531 = 769,531 : x
  2. Step 2: Convert to fraction form
    370,217/769,531 = 769,531/x
  3. Step 3: Cross multiply
    370,217x = 769,531 × 769,531
  4. Step 4: Simplify right side
    370,217x = 592,177,959,961
  5. Step 5: Solve for x
    x = 592,177,959,961/370,217
  6. Step 6: Final answer
    x = 1,599,542.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.