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Finding the Third Proportional to 602,798.25 and 820,908.75

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Solution

The third proportional to 602,798.25 and 820,908.75 is: 1,117,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,798.25 : 820,908.75 = 820,908.75 : x
  2. Step 2: Convert to fraction form
    602,798.25/820,908.75 = 820,908.75/x
  3. Step 3: Cross multiply
    602,798.25x = 820,908.75 × 820,908.75
  4. Step 4: Simplify right side
    602,798.25x = 673,891,175,826.56
  5. Step 5: Solve for x
    x = 673,891,175,826.56/602,798.25
  6. Step 6: Final answer
    x = 1,117,938.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.