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Finding the Third Proportional to 60,543.75 and 83,110.25

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Solution

The third proportional to 60,543.75 and 83,110.25 is: 114,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,543.75 : 83,110.25 = 83,110.25 : x
  2. Step 2: Convert to fraction form
    60,543.75/83,110.25 = 83,110.25/x
  3. Step 3: Cross multiply
    60,543.75x = 83,110.25 × 83,110.25
  4. Step 4: Simplify right side
    60,543.75x = 6,907,313,655.06
  5. Step 5: Solve for x
    x = 6,907,313,655.06/60,543.75
  6. Step 6: Final answer
    x = 114,087.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.