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Finding the Third Proportional to 296,558 and 617,692

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Solution

The third proportional to 296,558 and 617,692 is: 1,286,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,558 : 617,692 = 617,692 : x
  2. Step 2: Convert to fraction form
    296,558/617,692 = 617,692/x
  3. Step 3: Cross multiply
    296,558x = 617,692 × 617,692
  4. Step 4: Simplify right side
    296,558x = 381,543,406,864
  5. Step 5: Solve for x
    x = 381,543,406,864/296,558
  6. Step 6: Final answer
    x = 1,286,572.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.