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Finding the Third Proportional to 55,808 and 121,458

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Solution

The third proportional to 55,808 and 121,458 is: 264,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,808 : 121,458 = 121,458 : x
  2. Step 2: Convert to fraction form
    55,808/121,458 = 121,458/x
  3. Step 3: Cross multiply
    55,808x = 121,458 × 121,458
  4. Step 4: Simplify right side
    55,808x = 14,752,045,764
  5. Step 5: Solve for x
    x = 14,752,045,764/55,808
  6. Step 6: Final answer
    x = 264,335.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.