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Finding the Third Proportional to 375,879 and 819,617

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Solution

The third proportional to 375,879 and 819,617 is: 1,787,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,879 : 819,617 = 819,617 : x
  2. Step 2: Convert to fraction form
    375,879/819,617 = 819,617/x
  3. Step 3: Cross multiply
    375,879x = 819,617 × 819,617
  4. Step 4: Simplify right side
    375,879x = 671,772,026,689
  5. Step 5: Solve for x
    x = 671,772,026,689/375,879
  6. Step 6: Final answer
    x = 1,787,202.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.