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Finding the Third Proportional to 602,763 and 820,845

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Solution

The third proportional to 602,763 and 820,845 is: 1,117,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,763 : 820,845 = 820,845 : x
  2. Step 2: Convert to fraction form
    602,763/820,845 = 820,845/x
  3. Step 3: Cross multiply
    602,763x = 820,845 × 820,845
  4. Step 4: Simplify right side
    602,763x = 673,786,514,025
  5. Step 5: Solve for x
    x = 673,786,514,025/602,763
  6. Step 6: Final answer
    x = 1,117,829.92

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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.