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Finding the Third Proportional to 135,115 and 293,307

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Solution

The third proportional to 135,115 and 293,307 is: 636,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,115 : 293,307 = 293,307 : x
  2. Step 2: Convert to fraction form
    135,115/293,307 = 293,307/x
  3. Step 3: Cross multiply
    135,115x = 293,307 × 293,307
  4. Step 4: Simplify right side
    135,115x = 86,028,996,249
  5. Step 5: Solve for x
    x = 86,028,996,249/135,115
  6. Step 6: Final answer
    x = 636,709.44

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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.