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Finding the Third Proportional to 135,290 and 293,904

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Solution

The third proportional to 135,290 and 293,904 is: 638,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,290 : 293,904 = 293,904 : x
  2. Step 2: Convert to fraction form
    135,290/293,904 = 293,904/x
  3. Step 3: Cross multiply
    135,290x = 293,904 × 293,904
  4. Step 4: Simplify right side
    135,290x = 86,379,561,216
  5. Step 5: Solve for x
    x = 86,379,561,216/135,290
  6. Step 6: Final answer
    x = 638,477.06

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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.