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Finding the Third Proportional to 73,200.75 and 159,787.50

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Solution

The third proportional to 73,200.75 and 159,787.50 is: 348,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,200.75 : 159,787.50 = 159,787.50 : x
  2. Step 2: Convert to fraction form
    73,200.75/159,787.50 = 159,787.50/x
  3. Step 3: Cross multiply
    73,200.75x = 159,787.50 × 159,787.50
  4. Step 4: Simplify right side
    73,200.75x = 25,532,045,156.25
  5. Step 5: Solve for x
    x = 25,532,045,156.25/73,200.75
  6. Step 6: Final answer
    x = 348,794.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.