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Finding the Third Proportional to 55,742 and 121,642

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Solution

The third proportional to 55,742 and 121,642 is: 265,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742 : 121,642 = 121,642 : x
  2. Step 2: Convert to fraction form
    55,742/121,642 = 121,642/x
  3. Step 3: Cross multiply
    55,742x = 121,642 × 121,642
  4. Step 4: Simplify right side
    55,742x = 14,796,776,164
  5. Step 5: Solve for x
    x = 14,796,776,164/55,742
  6. Step 6: Final answer
    x = 265,451.12

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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.