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Finding the Third Proportional to 57,254.50 and 122,987

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Solution

The third proportional to 57,254.50 and 122,987 is: 264,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,254.50 : 122,987 = 122,987 : x
  2. Step 2: Convert to fraction form
    57,254.50/122,987 = 122,987/x
  3. Step 3: Cross multiply
    57,254.50x = 122,987 × 122,987
  4. Step 4: Simplify right side
    57,254.50x = 15,125,802,169
  5. Step 5: Solve for x
    x = 15,125,802,169/57,254.50
  6. Step 6: Final answer
    x = 264,185.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.