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Finding the Third Proportional to 226,811 and 488,289

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Solution

The third proportional to 226,811 and 488,289 is: 1,051,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,811 : 488,289 = 488,289 : x
  2. Step 2: Convert to fraction form
    226,811/488,289 = 488,289/x
  3. Step 3: Cross multiply
    226,811x = 488,289 × 488,289
  4. Step 4: Simplify right side
    226,811x = 238,426,147,521
  5. Step 5: Solve for x
    x = 238,426,147,521/226,811
  6. Step 6: Final answer
    x = 1,051,210.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.