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Finding the Third Proportional to 785,478 and 1,228,761

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Solution

The third proportional to 785,478 and 1,228,761 is: 1,922,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,478 : 1,228,761 = 1,228,761 : x
  2. Step 2: Convert to fraction form
    785,478/1,228,761 = 1,228,761/x
  3. Step 3: Cross multiply
    785,478x = 1,228,761 × 1,228,761
  4. Step 4: Simplify right side
    785,478x = 1,509,853,595,121
  5. Step 5: Solve for x
    x = 1,509,853,595,121/785,478
  6. Step 6: Final answer
    x = 1,922,209.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.