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Finding the Third Proportional to 146,581 and 321,217

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Solution

The third proportional to 146,581 and 321,217 is: 703,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,581 : 321,217 = 321,217 : x
  2. Step 2: Convert to fraction form
    146,581/321,217 = 321,217/x
  3. Step 3: Cross multiply
    146,581x = 321,217 × 321,217
  4. Step 4: Simplify right side
    146,581x = 103,180,361,089
  5. Step 5: Solve for x
    x = 103,180,361,089/146,581
  6. Step 6: Final answer
    x = 703,913.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.