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Finding the Third Proportional to 602,847 and 820,980

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Solution

The third proportional to 602,847 and 820,980 is: 1,118,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,847 : 820,980 = 820,980 : x
  2. Step 2: Convert to fraction form
    602,847/820,980 = 820,980/x
  3. Step 3: Cross multiply
    602,847x = 820,980 × 820,980
  4. Step 4: Simplify right side
    602,847x = 674,008,160,400
  5. Step 5: Solve for x
    x = 674,008,160,400/602,847
  6. Step 6: Final answer
    x = 1,118,041.83

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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.