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Finding the Third Proportional to 226,291.50 and 311,718

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Solution

The third proportional to 226,291.50 and 311,718 is: 429,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,291.50 : 311,718 = 311,718 : x
  2. Step 2: Convert to fraction form
    226,291.50/311,718 = 311,718/x
  3. Step 3: Cross multiply
    226,291.50x = 311,718 × 311,718
  4. Step 4: Simplify right side
    226,291.50x = 97,168,111,524
  5. Step 5: Solve for x
    x = 97,168,111,524/226,291.50
  6. Step 6: Final answer
    x = 429,393.55

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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.