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Finding the Third Proportional to 40,206 and 55,557

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Solution

The third proportional to 40,206 and 55,557 is: 76,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206 : 55,557 = 55,557 : x
  2. Step 2: Convert to fraction form
    40,206/55,557 = 55,557/x
  3. Step 3: Cross multiply
    40,206x = 55,557 × 55,557
  4. Step 4: Simplify right side
    40,206x = 3,086,580,249
  5. Step 5: Solve for x
    x = 3,086,580,249/40,206
  6. Step 6: Final answer
    x = 76,769.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.