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Finding the Third Proportional to 57,775.88 and 121,140.75

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Solution

The third proportional to 57,775.88 and 121,140.75 is: 254,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,775.88 : 121,140.75 = 121,140.75 : x
  2. Step 2: Convert to fraction form
    57,775.88/121,140.75 = 121,140.75/x
  3. Step 3: Cross multiply
    57,775.88x = 121,140.75 × 121,140.75
  4. Step 4: Simplify right side
    57,775.88x = 14,675,081,310.56
  5. Step 5: Solve for x
    x = 14,675,081,310.56/57,775.88
  6. Step 6: Final answer
    x = 254,000.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.