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Finding the Third Proportional to 665,805 and 1,438,019

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Solution

The third proportional to 665,805 and 1,438,019 is: 3,105,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,805 : 1,438,019 = 1,438,019 : x
  2. Step 2: Convert to fraction form
    665,805/1,438,019 = 1,438,019/x
  3. Step 3: Cross multiply
    665,805x = 1,438,019 × 1,438,019
  4. Step 4: Simplify right side
    665,805x = 2,067,898,644,361
  5. Step 5: Solve for x
    x = 2,067,898,644,361/665,805
  6. Step 6: Final answer
    x = 3,105,862.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.