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Finding the Third Proportional to 202,339 and 311,814

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Solution

The third proportional to 202,339 and 311,814 is: 480,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,339 : 311,814 = 311,814 : x
  2. Step 2: Convert to fraction form
    202,339/311,814 = 311,814/x
  3. Step 3: Cross multiply
    202,339x = 311,814 × 311,814
  4. Step 4: Simplify right side
    202,339x = 97,227,970,596
  5. Step 5: Solve for x
    x = 97,227,970,596/202,339
  6. Step 6: Final answer
    x = 480,520.17

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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.