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Finding the Third Proportional to 215,811 and 462,726

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Solution

The third proportional to 215,811 and 462,726 is: 992,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,811 : 462,726 = 462,726 : x
  2. Step 2: Convert to fraction form
    215,811/462,726 = 462,726/x
  3. Step 3: Cross multiply
    215,811x = 462,726 × 462,726
  4. Step 4: Simplify right side
    215,811x = 214,115,351,076
  5. Step 5: Solve for x
    x = 214,115,351,076/215,811
  6. Step 6: Final answer
    x = 992,142.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.