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Finding the Third Proportional to 811,641.38 and 1,261,671.19

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Solution

The third proportional to 811,641.38 and 1,261,671.19 is: 1,961,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,641.38 : 1,261,671.19 = 1,261,671.19 : x
  2. Step 2: Convert to fraction form
    811,641.38/1,261,671.19 = 1,261,671.19/x
  3. Step 3: Cross multiply
    811,641.38x = 1,261,671.19 × 1,261,671.19
  4. Step 4: Simplify right side
    811,641.38x = 1,591,814,185,367.66
  5. Step 5: Solve for x
    x = 1,591,814,185,367.66/811,641.38
  6. Step 6: Final answer
    x = 1,961,228.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.