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Finding the Third Proportional to 151,424 and 220,564

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Solution

The third proportional to 151,424 and 220,564 is: 321,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,424 : 220,564 = 220,564 : x
  2. Step 2: Convert to fraction form
    151,424/220,564 = 220,564/x
  3. Step 3: Cross multiply
    151,424x = 220,564 × 220,564
  4. Step 4: Simplify right side
    151,424x = 48,648,478,096
  5. Step 5: Solve for x
    x = 48,648,478,096/151,424
  6. Step 6: Final answer
    x = 321,273.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.