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Finding the Third Proportional to 641,671.88 and 897,115.50

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Solution

The third proportional to 641,671.88 and 897,115.50 is: 1,254,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,671.88 : 897,115.50 = 897,115.50 : x
  2. Step 2: Convert to fraction form
    641,671.88/897,115.50 = 897,115.50/x
  3. Step 3: Cross multiply
    641,671.88x = 897,115.50 × 897,115.50
  4. Step 4: Simplify right side
    641,671.88x = 804,816,220,340.25
  5. Step 5: Solve for x
    x = 804,816,220,340.25/641,671.88
  6. Step 6: Final answer
    x = 1,254,248.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.