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Finding the Third Proportional to 55,463 and 121,987

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Solution

The third proportional to 55,463 and 121,987 is: 268,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,463 : 121,987 = 121,987 : x
  2. Step 2: Convert to fraction form
    55,463/121,987 = 121,987/x
  3. Step 3: Cross multiply
    55,463x = 121,987 × 121,987
  4. Step 4: Simplify right side
    55,463x = 14,880,828,169
  5. Step 5: Solve for x
    x = 14,880,828,169/55,463
  6. Step 6: Final answer
    x = 268,301.90

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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.