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Finding the Third Proportional to 224,440.50 and 480,408

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Solution

The third proportional to 224,440.50 and 480,408 is: 1,028,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,440.50 : 480,408 = 480,408 : x
  2. Step 2: Convert to fraction form
    224,440.50/480,408 = 480,408/x
  3. Step 3: Cross multiply
    224,440.50x = 480,408 × 480,408
  4. Step 4: Simplify right side
    224,440.50x = 230,791,846,464
  5. Step 5: Solve for x
    x = 230,791,846,464/224,440.50
  6. Step 6: Final answer
    x = 1,028,298.58

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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.