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Finding the Third Proportional to 55,861 and 121,565

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Solution

The third proportional to 55,861 and 121,565 is: 264,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,861 : 121,565 = 121,565 : x
  2. Step 2: Convert to fraction form
    55,861/121,565 = 121,565/x
  3. Step 3: Cross multiply
    55,861x = 121,565 × 121,565
  4. Step 4: Simplify right side
    55,861x = 14,778,049,225
  5. Step 5: Solve for x
    x = 14,778,049,225/55,861
  6. Step 6: Final answer
    x = 264,550.39

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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.