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Finding the Third Proportional to 57,453.75 and 121,954.50

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Solution

The third proportional to 57,453.75 and 121,954.50 is: 258,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,453.75 : 121,954.50 = 121,954.50 : x
  2. Step 2: Convert to fraction form
    57,453.75/121,954.50 = 121,954.50/x
  3. Step 3: Cross multiply
    57,453.75x = 121,954.50 × 121,954.50
  4. Step 4: Simplify right side
    57,453.75x = 14,872,900,070.25
  5. Step 5: Solve for x
    x = 14,872,900,070.25/57,453.75
  6. Step 6: Final answer
    x = 258,867.35

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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.