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Finding the Third Proportional to 386,190 and 807,691

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Solution

The third proportional to 386,190 and 807,691 is: 1,689,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,190 : 807,691 = 807,691 : x
  2. Step 2: Convert to fraction form
    386,190/807,691 = 807,691/x
  3. Step 3: Cross multiply
    386,190x = 807,691 × 807,691
  4. Step 4: Simplify right side
    386,190x = 652,364,751,481
  5. Step 5: Solve for x
    x = 652,364,751,481/386,190
  6. Step 6: Final answer
    x = 1,689,232.64

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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.