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Finding the Third Proportional to 151,441 and 220,109

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Solution

The third proportional to 151,441 and 220,109 is: 319,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,441 : 220,109 = 220,109 : x
  2. Step 2: Convert to fraction form
    151,441/220,109 = 220,109/x
  3. Step 3: Cross multiply
    151,441x = 220,109 × 220,109
  4. Step 4: Simplify right side
    151,441x = 48,447,971,881
  5. Step 5: Solve for x
    x = 48,447,971,881/151,441
  6. Step 6: Final answer
    x = 319,913.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.