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Finding the Third Proportional to 136,109 and 296,518

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Solution

The third proportional to 136,109 and 296,518 is: 645,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,109 : 296,518 = 296,518 : x
  2. Step 2: Convert to fraction form
    136,109/296,518 = 296,518/x
  3. Step 3: Cross multiply
    136,109x = 296,518 × 296,518
  4. Step 4: Simplify right side
    136,109x = 87,922,924,324
  5. Step 5: Solve for x
    x = 87,922,924,324/136,109
  6. Step 6: Final answer
    x = 645,974.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.