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Finding the Third Proportional to 151,620.75 and 321,724.50

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Solution

The third proportional to 151,620.75 and 321,724.50 is: 682,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,620.75 : 321,724.50 = 321,724.50 : x
  2. Step 2: Convert to fraction form
    151,620.75/321,724.50 = 321,724.50/x
  3. Step 3: Cross multiply
    151,620.75x = 321,724.50 × 321,724.50
  4. Step 4: Simplify right side
    151,620.75x = 103,506,653,900.25
  5. Step 5: Solve for x
    x = 103,506,653,900.25/151,620.75
  6. Step 6: Final answer
    x = 682,668.13

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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.