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Finding the Third Proportional to 208,138.50 and 312,237

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Solution

The third proportional to 208,138.50 and 312,237 is: 468,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,138.50 : 312,237 = 312,237 : x
  2. Step 2: Convert to fraction form
    208,138.50/312,237 = 312,237/x
  3. Step 3: Cross multiply
    208,138.50x = 312,237 × 312,237
  4. Step 4: Simplify right side
    208,138.50x = 97,491,944,169
  5. Step 5: Solve for x
    x = 97,491,944,169/208,138.50
  6. Step 6: Final answer
    x = 468,399.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.