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Finding the Third Proportional to 311,440.25 and 480,962.38

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Solution

The third proportional to 311,440.25 and 480,962.38 is: 742,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,440.25 : 480,962.38 = 480,962.38 : x
  2. Step 2: Convert to fraction form
    311,440.25/480,962.38 = 480,962.38/x
  3. Step 3: Cross multiply
    311,440.25x = 480,962.38 × 480,962.38
  4. Step 4: Simplify right side
    311,440.25x = 231,324,806,165.64
  5. Step 5: Solve for x
    x = 231,324,806,165.64/311,440.25
  6. Step 6: Final answer
    x = 742,758.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.