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Finding the Third Proportional to 135,904 and 307,042

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Solution

The third proportional to 135,904 and 307,042 is: 693,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,904 : 307,042 = 307,042 : x
  2. Step 2: Convert to fraction form
    135,904/307,042 = 307,042/x
  3. Step 3: Cross multiply
    135,904x = 307,042 × 307,042
  4. Step 4: Simplify right side
    135,904x = 94,274,789,764
  5. Step 5: Solve for x
    x = 94,274,789,764/135,904
  6. Step 6: Final answer
    x = 693,686.64

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.