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Finding the Third Proportional to 381,951 and 829,617

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Solution

The third proportional to 381,951 and 829,617 is: 1,801,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,951 : 829,617 = 829,617 : x
  2. Step 2: Convert to fraction form
    381,951/829,617 = 829,617/x
  3. Step 3: Cross multiply
    381,951x = 829,617 × 829,617
  4. Step 4: Simplify right side
    381,951x = 688,264,366,689
  5. Step 5: Solve for x
    x = 688,264,366,689/381,951
  6. Step 6: Final answer
    x = 1,801,970.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.