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Finding the Third Proportional to 423,065.25 and 655,368.75

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Solution

The third proportional to 423,065.25 and 655,368.75 is: 1,015,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,065.25 : 655,368.75 = 655,368.75 : x
  2. Step 2: Convert to fraction form
    423,065.25/655,368.75 = 655,368.75/x
  3. Step 3: Cross multiply
    423,065.25x = 655,368.75 × 655,368.75
  4. Step 4: Simplify right side
    423,065.25x = 429,508,198,476.56
  5. Step 5: Solve for x
    x = 429,508,198,476.56/423,065.25
  6. Step 6: Final answer
    x = 1,015,229.21

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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.