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Finding the Third Proportional to 386,276 and 807,850

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Solution

The third proportional to 386,276 and 807,850 is: 1,689,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,276 : 807,850 = 807,850 : x
  2. Step 2: Convert to fraction form
    386,276/807,850 = 807,850/x
  3. Step 3: Cross multiply
    386,276x = 807,850 × 807,850
  4. Step 4: Simplify right side
    386,276x = 652,621,622,500
  5. Step 5: Solve for x
    x = 652,621,622,500/386,276
  6. Step 6: Final answer
    x = 1,689,521.54

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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.