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Finding the Third Proportional to 198,643.50 and 255,055.50

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Solution

The third proportional to 198,643.50 and 255,055.50 is: 327,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,643.50 : 255,055.50 = 255,055.50 : x
  2. Step 2: Convert to fraction form
    198,643.50/255,055.50 = 255,055.50/x
  3. Step 3: Cross multiply
    198,643.50x = 255,055.50 × 255,055.50
  4. Step 4: Simplify right side
    198,643.50x = 65,053,308,080.25
  5. Step 5: Solve for x
    x = 65,053,308,080.25/198,643.50
  6. Step 6: Final answer
    x = 327,487.73

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.