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Finding the Third Proportional to 101,098 and 220,033

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Solution

The third proportional to 101,098 and 220,033 is: 478,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,098 : 220,033 = 220,033 : x
  2. Step 2: Convert to fraction form
    101,098/220,033 = 220,033/x
  3. Step 3: Cross multiply
    101,098x = 220,033 × 220,033
  4. Step 4: Simplify right side
    101,098x = 48,414,521,089
  5. Step 5: Solve for x
    x = 48,414,521,089/101,098
  6. Step 6: Final answer
    x = 478,887.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.