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Finding the Third Proportional to 386,244 and 807,786

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Solution

The third proportional to 386,244 and 807,786 is: 1,689,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,244 : 807,786 = 807,786 : x
  2. Step 2: Convert to fraction form
    386,244/807,786 = 807,786/x
  3. Step 3: Cross multiply
    386,244x = 807,786 × 807,786
  4. Step 4: Simplify right side
    386,244x = 652,518,221,796
  5. Step 5: Solve for x
    x = 652,518,221,796/386,244
  6. Step 6: Final answer
    x = 1,689,393.81

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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.