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Finding the Third Proportional to 209,620 and 296,322

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Solution

The third proportional to 209,620 and 296,322 is: 418,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,620 : 296,322 = 296,322 : x
  2. Step 2: Convert to fraction form
    209,620/296,322 = 296,322/x
  3. Step 3: Cross multiply
    209,620x = 296,322 × 296,322
  4. Step 4: Simplify right side
    209,620x = 87,806,727,684
  5. Step 5: Solve for x
    x = 87,806,727,684/209,620
  6. Step 6: Final answer
    x = 418,885.26

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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.