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Finding the Third Proportional to 138,593 and 293,545

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Solution

The third proportional to 138,593 and 293,545 is: 621,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,593 : 293,545 = 293,545 : x
  2. Step 2: Convert to fraction form
    138,593/293,545 = 293,545/x
  3. Step 3: Cross multiply
    138,593x = 293,545 × 293,545
  4. Step 4: Simplify right side
    138,593x = 86,168,667,025
  5. Step 5: Solve for x
    x = 86,168,667,025/138,593
  6. Step 6: Final answer
    x = 621,738.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.