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Finding the Third Proportional to 80,280.75 and 189,856.50

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Solution

The third proportional to 80,280.75 and 189,856.50 is: 448,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,280.75 : 189,856.50 = 189,856.50 : x
  2. Step 2: Convert to fraction form
    80,280.75/189,856.50 = 189,856.50/x
  3. Step 3: Cross multiply
    80,280.75x = 189,856.50 × 189,856.50
  4. Step 4: Simplify right side
    80,280.75x = 36,045,490,592.25
  5. Step 5: Solve for x
    x = 36,045,490,592.25/80,280.75
  6. Step 6: Final answer
    x = 448,992.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.