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Finding the Third Proportional to 602,805 and 820,917

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Solution

The third proportional to 602,805 and 820,917 is: 1,117,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,805 : 820,917 = 820,917 : x
  2. Step 2: Convert to fraction form
    602,805/820,917 = 820,917/x
  3. Step 3: Cross multiply
    602,805x = 820,917 × 820,917
  4. Step 4: Simplify right side
    602,805x = 673,904,720,889
  5. Step 5: Solve for x
    x = 673,904,720,889/602,805
  6. Step 6: Final answer
    x = 1,117,948.13

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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.