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Finding the Third Proportional to 135,290 and 301,636

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Solution

The third proportional to 135,290 and 301,636 is: 672,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,290 : 301,636 = 301,636 : x
  2. Step 2: Convert to fraction form
    135,290/301,636 = 301,636/x
  3. Step 3: Cross multiply
    135,290x = 301,636 × 301,636
  4. Step 4: Simplify right side
    135,290x = 90,984,276,496
  5. Step 5: Solve for x
    x = 90,984,276,496/135,290
  6. Step 6: Final answer
    x = 672,512.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.