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Finding the Third Proportional to 311,226 and 480,655.50

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Solution

The third proportional to 311,226 and 480,655.50 is: 742,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,226 : 480,655.50 = 480,655.50 : x
  2. Step 2: Convert to fraction form
    311,226/480,655.50 = 480,655.50/x
  3. Step 3: Cross multiply
    311,226x = 480,655.50 × 480,655.50
  4. Step 4: Simplify right side
    311,226x = 231,029,709,680.25
  5. Step 5: Solve for x
    x = 231,029,709,680.25/311,226
  6. Step 6: Final answer
    x = 742,321.37

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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.