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Finding the Third Proportional to 57,174 and 121,254

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Solution

The third proportional to 57,174 and 121,254 is: 257,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,174 : 121,254 = 121,254 : x
  2. Step 2: Convert to fraction form
    57,174/121,254 = 121,254/x
  3. Step 3: Cross multiply
    57,174x = 121,254 × 121,254
  4. Step 4: Simplify right side
    57,174x = 14,702,532,516
  5. Step 5: Solve for x
    x = 14,702,532,516/57,174
  6. Step 6: Final answer
    x = 257,154.17

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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.