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Finding the Third Proportional to 807,649 and 1,267,137

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Solution

The third proportional to 807,649 and 1,267,137 is: 1,988,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,649 : 1,267,137 = 1,267,137 : x
  2. Step 2: Convert to fraction form
    807,649/1,267,137 = 1,267,137/x
  3. Step 3: Cross multiply
    807,649x = 1,267,137 × 1,267,137
  4. Step 4: Simplify right side
    807,649x = 1,605,636,176,769
  5. Step 5: Solve for x
    x = 1,605,636,176,769/807,649
  6. Step 6: Final answer
    x = 1,988,037.10

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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.