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Finding the Third Proportional to 252,652.50 and 306,780.75

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Solution

The third proportional to 252,652.50 and 306,780.75 is: 372,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,652.50 : 306,780.75 = 306,780.75 : x
  2. Step 2: Convert to fraction form
    252,652.50/306,780.75 = 306,780.75/x
  3. Step 3: Cross multiply
    252,652.50x = 306,780.75 × 306,780.75
  4. Step 4: Simplify right side
    252,652.50x = 94,114,428,570.56
  5. Step 5: Solve for x
    x = 94,114,428,570.56/252,652.50
  6. Step 6: Final answer
    x = 372,505.43

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.