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Finding the Third Proportional to 135,288 and 293,900

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Solution

The third proportional to 135,288 and 293,900 is: 638,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,288 : 293,900 = 293,900 : x
  2. Step 2: Convert to fraction form
    135,288/293,900 = 293,900/x
  3. Step 3: Cross multiply
    135,288x = 293,900 × 293,900
  4. Step 4: Simplify right side
    135,288x = 86,377,210,000
  5. Step 5: Solve for x
    x = 86,377,210,000/135,288
  6. Step 6: Final answer
    x = 638,469.12

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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.