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Finding the Third Proportional to 131,884 and 290,659

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Solution

The third proportional to 131,884 and 290,659 is: 640,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,884 : 290,659 = 290,659 : x
  2. Step 2: Convert to fraction form
    131,884/290,659 = 290,659/x
  3. Step 3: Cross multiply
    131,884x = 290,659 × 290,659
  4. Step 4: Simplify right side
    131,884x = 84,482,654,281
  5. Step 5: Solve for x
    x = 84,482,654,281/131,884
  6. Step 6: Final answer
    x = 640,583.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.