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Finding the Third Proportional to 60,520.50 and 128,237.50

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Solution

The third proportional to 60,520.50 and 128,237.50 is: 271,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,520.50 : 128,237.50 = 128,237.50 : x
  2. Step 2: Convert to fraction form
    60,520.50/128,237.50 = 128,237.50/x
  3. Step 3: Cross multiply
    60,520.50x = 128,237.50 × 128,237.50
  4. Step 4: Simplify right side
    60,520.50x = 16,444,856,406.25
  5. Step 5: Solve for x
    x = 16,444,856,406.25/60,520.50
  6. Step 6: Final answer
    x = 271,723.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.