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Finding the Third Proportional to 56,931 and 121,254

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Solution

The third proportional to 56,931 and 121,254 is: 258,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,931 : 121,254 = 121,254 : x
  2. Step 2: Convert to fraction form
    56,931/121,254 = 121,254/x
  3. Step 3: Cross multiply
    56,931x = 121,254 × 121,254
  4. Step 4: Simplify right side
    56,931x = 14,702,532,516
  5. Step 5: Solve for x
    x = 14,702,532,516/56,931
  6. Step 6: Final answer
    x = 258,251.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.