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Finding the Third Proportional to 136,468 and 296,245

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Solution

The third proportional to 136,468 and 296,245 is: 643,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,468 : 296,245 = 296,245 : x
  2. Step 2: Convert to fraction form
    136,468/296,245 = 296,245/x
  3. Step 3: Cross multiply
    136,468x = 296,245 × 296,245
  4. Step 4: Simplify right side
    136,468x = 87,761,100,025
  5. Step 5: Solve for x
    x = 87,761,100,025/136,468
  6. Step 6: Final answer
    x = 643,089.22

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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.