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Finding the Third Proportional to 151,355 and 321,159

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Solution

The third proportional to 151,355 and 321,159 is: 681,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,355 : 321,159 = 321,159 : x
  2. Step 2: Convert to fraction form
    151,355/321,159 = 321,159/x
  3. Step 3: Cross multiply
    151,355x = 321,159 × 321,159
  4. Step 4: Simplify right side
    151,355x = 103,143,103,281
  5. Step 5: Solve for x
    x = 103,143,103,281/151,355
  6. Step 6: Final answer
    x = 681,464.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.