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Finding the Third Proportional to 60,117.75 and 128,280.38

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Solution

The third proportional to 60,117.75 and 128,280.38 is: 273,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,117.75 : 128,280.38 = 128,280.38 : x
  2. Step 2: Convert to fraction form
    60,117.75/128,280.38 = 128,280.38/x
  3. Step 3: Cross multiply
    60,117.75x = 128,280.38 × 128,280.38
  4. Step 4: Simplify right side
    60,117.75x = 16,455,854,610.14
  5. Step 5: Solve for x
    x = 16,455,854,610.14/60,117.75
  6. Step 6: Final answer
    x = 273,727.05

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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.