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Finding the Third Proportional to 203,422.50 and 306,618.75

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Solution

The third proportional to 203,422.50 and 306,618.75 is: 462,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,422.50 : 306,618.75 = 306,618.75 : x
  2. Step 2: Convert to fraction form
    203,422.50/306,618.75 = 306,618.75/x
  3. Step 3: Cross multiply
    203,422.50x = 306,618.75 × 306,618.75
  4. Step 4: Simplify right side
    203,422.50x = 94,015,057,851.56
  5. Step 5: Solve for x
    x = 94,015,057,851.56/203,422.50
  6. Step 6: Final answer
    x = 462,166.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.