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Finding the Third Proportional to 208,876 and 312,530

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Solution

The third proportional to 208,876 and 312,530 is: 467,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,876 : 312,530 = 312,530 : x
  2. Step 2: Convert to fraction form
    208,876/312,530 = 312,530/x
  3. Step 3: Cross multiply
    208,876x = 312,530 × 312,530
  4. Step 4: Simplify right side
    208,876x = 97,675,000,900
  5. Step 5: Solve for x
    x = 97,675,000,900/208,876
  6. Step 6: Final answer
    x = 467,621.94

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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.