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Finding the Third Proportional to 602,810 and 820,924

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Solution

The third proportional to 602,810 and 820,924 is: 1,117,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,810 : 820,924 = 820,924 : x
  2. Step 2: Convert to fraction form
    602,810/820,924 = 820,924/x
  3. Step 3: Cross multiply
    602,810x = 820,924 × 820,924
  4. Step 4: Simplify right side
    602,810x = 673,916,213,776
  5. Step 5: Solve for x
    x = 673,916,213,776/602,810
  6. Step 6: Final answer
    x = 1,117,957.92

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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.