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Finding the Third Proportional to 820,580 and 1,204,245

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Solution

The third proportional to 820,580 and 1,204,245 is: 1,767,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,580 : 1,204,245 = 1,204,245 : x
  2. Step 2: Convert to fraction form
    820,580/1,204,245 = 1,204,245/x
  3. Step 3: Cross multiply
    820,580x = 1,204,245 × 1,204,245
  4. Step 4: Simplify right side
    820,580x = 1,450,206,020,025
  5. Step 5: Solve for x
    x = 1,450,206,020,025/820,580
  6. Step 6: Final answer
    x = 1,767,293.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.