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Finding the Third Proportional to 135,112 and 293,299

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Solution

The third proportional to 135,112 and 293,299 is: 636,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,112 : 293,299 = 293,299 : x
  2. Step 2: Convert to fraction form
    135,112/293,299 = 293,299/x
  3. Step 3: Cross multiply
    135,112x = 293,299 × 293,299
  4. Step 4: Simplify right side
    135,112x = 86,024,303,401
  5. Step 5: Solve for x
    x = 86,024,303,401/135,112
  6. Step 6: Final answer
    x = 636,688.85

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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.