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Finding the Third Proportional to 153,218.25 and 327,280.50

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Solution

The third proportional to 153,218.25 and 327,280.50 is: 699,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,218.25 : 327,280.50 = 327,280.50 : x
  2. Step 2: Convert to fraction form
    153,218.25/327,280.50 = 327,280.50/x
  3. Step 3: Cross multiply
    153,218.25x = 327,280.50 × 327,280.50
  4. Step 4: Simplify right side
    153,218.25x = 107,112,525,680.25
  5. Step 5: Solve for x
    x = 107,112,525,680.25/153,218.25
  6. Step 6: Final answer
    x = 699,084.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.