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Finding the Third Proportional to 378,081 and 830,702.25

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Solution

The third proportional to 378,081 and 830,702.25 is: 1,825,180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,081 : 830,702.25 = 830,702.25 : x
  2. Step 2: Convert to fraction form
    378,081/830,702.25 = 830,702.25/x
  3. Step 3: Cross multiply
    378,081x = 830,702.25 × 830,702.25
  4. Step 4: Simplify right side
    378,081x = 690,066,228,155.06
  5. Step 5: Solve for x
    x = 690,066,228,155.06/378,081
  6. Step 6: Final answer
    x = 1,825,180.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.