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Finding the Third Proportional to 136,134 and 312,464

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Solution

The third proportional to 136,134 and 312,464 is: 717,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,134 : 312,464 = 312,464 : x
  2. Step 2: Convert to fraction form
    136,134/312,464 = 312,464/x
  3. Step 3: Cross multiply
    136,134x = 312,464 × 312,464
  4. Step 4: Simplify right side
    136,134x = 97,633,751,296
  5. Step 5: Solve for x
    x = 97,633,751,296/136,134
  6. Step 6: Final answer
    x = 717,188.59

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.