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Finding the Third Proportional to 55,391 and 121,858

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Solution

The third proportional to 55,391 and 121,858 is: 268,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,391 : 121,858 = 121,858 : x
  2. Step 2: Convert to fraction form
    55,391/121,858 = 121,858/x
  3. Step 3: Cross multiply
    55,391x = 121,858 × 121,858
  4. Step 4: Simplify right side
    55,391x = 14,849,372,164
  5. Step 5: Solve for x
    x = 14,849,372,164/55,391
  6. Step 6: Final answer
    x = 268,082.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.