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Finding the Third Proportional to 807,739 and 1,267,215

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Solution

The third proportional to 807,739 and 1,267,215 is: 1,988,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,739 : 1,267,215 = 1,267,215 : x
  2. Step 2: Convert to fraction form
    807,739/1,267,215 = 1,267,215/x
  3. Step 3: Cross multiply
    807,739x = 1,267,215 × 1,267,215
  4. Step 4: Simplify right side
    807,739x = 1,605,833,856,225
  5. Step 5: Solve for x
    x = 1,605,833,856,225/807,739
  6. Step 6: Final answer
    x = 1,988,060.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.