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Finding the Third Proportional to 135,536 and 290,656

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Solution

The third proportional to 135,536 and 290,656 is: 623,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,536 : 290,656 = 290,656 : x
  2. Step 2: Convert to fraction form
    135,536/290,656 = 290,656/x
  3. Step 3: Cross multiply
    135,536x = 290,656 × 290,656
  4. Step 4: Simplify right side
    135,536x = 84,480,910,336
  5. Step 5: Solve for x
    x = 84,480,910,336/135,536
  6. Step 6: Final answer
    x = 623,309.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.