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Finding the Third Proportional to 55,648 and 121,520

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Solution

The third proportional to 55,648 and 121,520 is: 265,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,648 : 121,520 = 121,520 : x
  2. Step 2: Convert to fraction form
    55,648/121,520 = 121,520/x
  3. Step 3: Cross multiply
    55,648x = 121,520 × 121,520
  4. Step 4: Simplify right side
    55,648x = 14,767,110,400
  5. Step 5: Solve for x
    x = 14,767,110,400/55,648
  6. Step 6: Final answer
    x = 265,366.42

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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.