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Finding the Third Proportional to 57,343 and 121,651

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Solution

The third proportional to 57,343 and 121,651 is: 258,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,343 : 121,651 = 121,651 : x
  2. Step 2: Convert to fraction form
    57,343/121,651 = 121,651/x
  3. Step 3: Cross multiply
    57,343x = 121,651 × 121,651
  4. Step 4: Simplify right side
    57,343x = 14,798,965,801
  5. Step 5: Solve for x
    x = 14,798,965,801/57,343
  6. Step 6: Final answer
    x = 258,077.98

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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.