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Finding the Third Proportional to 60,120 and 128,290.50

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Solution

The third proportional to 60,120 and 128,290.50 is: 273,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,120 : 128,290.50 = 128,290.50 : x
  2. Step 2: Convert to fraction form
    60,120/128,290.50 = 128,290.50/x
  3. Step 3: Cross multiply
    60,120x = 128,290.50 × 128,290.50
  4. Step 4: Simplify right side
    60,120x = 16,458,452,390.25
  5. Step 5: Solve for x
    x = 16,458,452,390.25/60,120
  6. Step 6: Final answer
    x = 273,760.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.