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Finding the Third Proportional to 101,460 and 218,508

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Solution

The third proportional to 101,460 and 218,508 is: 470,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,460 : 218,508 = 218,508 : x
  2. Step 2: Convert to fraction form
    101,460/218,508 = 218,508/x
  3. Step 3: Cross multiply
    101,460x = 218,508 × 218,508
  4. Step 4: Simplify right side
    101,460x = 47,745,746,064
  5. Step 5: Solve for x
    x = 47,745,746,064/101,460
  6. Step 6: Final answer
    x = 470,586.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.