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Finding the Third Proportional to 103,556 and 226,489

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Solution

The third proportional to 103,556 and 226,489 is: 495,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,556 : 226,489 = 226,489 : x
  2. Step 2: Convert to fraction form
    103,556/226,489 = 226,489/x
  3. Step 3: Cross multiply
    103,556x = 226,489 × 226,489
  4. Step 4: Simplify right side
    103,556x = 51,297,267,121
  5. Step 5: Solve for x
    x = 51,297,267,121/103,556
  6. Step 6: Final answer
    x = 495,357.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.