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Finding the Third Proportional to 135,220 and 293,336

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Solution

The third proportional to 135,220 and 293,336 is: 636,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,220 : 293,336 = 293,336 : x
  2. Step 2: Convert to fraction form
    135,220/293,336 = 293,336/x
  3. Step 3: Cross multiply
    135,220x = 293,336 × 293,336
  4. Step 4: Simplify right side
    135,220x = 86,046,008,896
  5. Step 5: Solve for x
    x = 86,046,008,896/135,220
  6. Step 6: Final answer
    x = 636,340.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.