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Finding the Third Proportional to 151,424 and 220,563

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Solution

The third proportional to 151,424 and 220,563 is: 321,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,424 : 220,563 = 220,563 : x
  2. Step 2: Convert to fraction form
    151,424/220,563 = 220,563/x
  3. Step 3: Cross multiply
    151,424x = 220,563 × 220,563
  4. Step 4: Simplify right side
    151,424x = 48,648,036,969
  5. Step 5: Solve for x
    x = 48,648,036,969/151,424
  6. Step 6: Final answer
    x = 321,270.32

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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.