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Finding the Third Proportional to 311,814 and 344,619

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Solution

The third proportional to 311,814 and 344,619 is: 380,875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,814 : 344,619 = 344,619 : x
  2. Step 2: Convert to fraction form
    311,814/344,619 = 344,619/x
  3. Step 3: Cross multiply
    311,814x = 344,619 × 344,619
  4. Step 4: Simplify right side
    311,814x = 118,762,255,161
  5. Step 5: Solve for x
    x = 118,762,255,161/311,814
  6. Step 6: Final answer
    x = 380,875.31

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.