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Finding the Third Proportional to 57,466 and 121,889

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Solution

The third proportional to 57,466 and 121,889 is: 258,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,466 : 121,889 = 121,889 : x
  2. Step 2: Convert to fraction form
    57,466/121,889 = 121,889/x
  3. Step 3: Cross multiply
    57,466x = 121,889 × 121,889
  4. Step 4: Simplify right side
    57,466x = 14,856,928,321
  5. Step 5: Solve for x
    x = 14,856,928,321/57,466
  6. Step 6: Final answer
    x = 258,534.23

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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.