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Finding the Third Proportional to 55,677 and 121,578

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Solution

The third proportional to 55,677 and 121,578 is: 265,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,677 : 121,578 = 121,578 : x
  2. Step 2: Convert to fraction form
    55,677/121,578 = 121,578/x
  3. Step 3: Cross multiply
    55,677x = 121,578 × 121,578
  4. Step 4: Simplify right side
    55,677x = 14,781,210,084
  5. Step 5: Solve for x
    x = 14,781,210,084/55,677
  6. Step 6: Final answer
    x = 265,481.44

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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.