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Finding the Third Proportional to 135,090 and 293,256

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Solution

The third proportional to 135,090 and 293,256 is: 636,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,090 : 293,256 = 293,256 : x
  2. Step 2: Convert to fraction form
    135,090/293,256 = 293,256/x
  3. Step 3: Cross multiply
    135,090x = 293,256 × 293,256
  4. Step 4: Simplify right side
    135,090x = 85,999,081,536
  5. Step 5: Solve for x
    x = 85,999,081,536/135,090
  6. Step 6: Final answer
    x = 636,605.83

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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.