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Finding the Third Proportional to 55,840 and 121,718

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Solution

The third proportional to 55,840 and 121,718 is: 265,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,840 : 121,718 = 121,718 : x
  2. Step 2: Convert to fraction form
    55,840/121,718 = 121,718/x
  3. Step 3: Cross multiply
    55,840x = 121,718 × 121,718
  4. Step 4: Simplify right side
    55,840x = 14,815,271,524
  5. Step 5: Solve for x
    x = 14,815,271,524/55,840
  6. Step 6: Final answer
    x = 265,316.47

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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.