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Finding the Third Proportional to 322,098 and 685,776

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Solution

The third proportional to 322,098 and 685,776 is: 1,460,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,098 : 685,776 = 685,776 : x
  2. Step 2: Convert to fraction form
    322,098/685,776 = 685,776/x
  3. Step 3: Cross multiply
    322,098x = 685,776 × 685,776
  4. Step 4: Simplify right side
    322,098x = 470,288,722,176
  5. Step 5: Solve for x
    x = 470,288,722,176/322,098
  6. Step 6: Final answer
    x = 1,460,079.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.