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Finding the Third Proportional to 209,297 and 313,126

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Solution

The third proportional to 209,297 and 313,126 is: 468,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,297 : 313,126 = 313,126 : x
  2. Step 2: Convert to fraction form
    209,297/313,126 = 313,126/x
  3. Step 3: Cross multiply
    209,297x = 313,126 × 313,126
  4. Step 4: Simplify right side
    209,297x = 98,047,891,876
  5. Step 5: Solve for x
    x = 98,047,891,876/209,297
  6. Step 6: Final answer
    x = 468,462.96

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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.