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Finding the Third Proportional to 209,595 and 296,289

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Solution

The third proportional to 209,595 and 296,289 is: 418,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,595 : 296,289 = 296,289 : x
  2. Step 2: Convert to fraction form
    209,595/296,289 = 296,289/x
  3. Step 3: Cross multiply
    209,595x = 296,289 × 296,289
  4. Step 4: Simplify right side
    209,595x = 87,787,171,521
  5. Step 5: Solve for x
    x = 87,787,171,521/209,595
  6. Step 6: Final answer
    x = 418,841.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.