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Finding the Third Proportional to 151,780.50 and 333,084

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Solution

The third proportional to 151,780.50 and 333,084 is: 730,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,780.50 : 333,084 = 333,084 : x
  2. Step 2: Convert to fraction form
    151,780.50/333,084 = 333,084/x
  3. Step 3: Cross multiply
    151,780.50x = 333,084 × 333,084
  4. Step 4: Simplify right side
    151,780.50x = 110,944,951,056
  5. Step 5: Solve for x
    x = 110,944,951,056/151,780.50
  6. Step 6: Final answer
    x = 730,956.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.