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Finding the Third Proportional to 296,580 and 617,736

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Solution

The third proportional to 296,580 and 617,736 is: 1,286,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,580 : 617,736 = 617,736 : x
  2. Step 2: Convert to fraction form
    296,580/617,736 = 617,736/x
  3. Step 3: Cross multiply
    296,580x = 617,736 × 617,736
  4. Step 4: Simplify right side
    296,580x = 381,597,765,696
  5. Step 5: Solve for x
    x = 381,597,765,696/296,580
  6. Step 6: Final answer
    x = 1,286,660.48

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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.