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Finding the Third Proportional to 151,776.75 and 219,273.75

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Solution

The third proportional to 151,776.75 and 219,273.75 is: 316,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,776.75 : 219,273.75 = 219,273.75 : x
  2. Step 2: Convert to fraction form
    151,776.75/219,273.75 = 219,273.75/x
  3. Step 3: Cross multiply
    151,776.75x = 219,273.75 × 219,273.75
  4. Step 4: Simplify right side
    151,776.75x = 48,080,977,439.06
  5. Step 5: Solve for x
    x = 48,080,977,439.06/151,776.75
  6. Step 6: Final answer
    x = 316,787.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.