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Finding the Third Proportional to 197,347.50 and 306,132.75

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Solution

The third proportional to 197,347.50 and 306,132.75 is: 474,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,347.50 : 306,132.75 = 306,132.75 : x
  2. Step 2: Convert to fraction form
    197,347.50/306,132.75 = 306,132.75/x
  3. Step 3: Cross multiply
    197,347.50x = 306,132.75 × 306,132.75
  4. Step 4: Simplify right side
    197,347.50x = 93,717,260,622.56
  5. Step 5: Solve for x
    x = 93,717,260,622.56/197,347.50
  6. Step 6: Final answer
    x = 474,884.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.