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Finding the Third Proportional to 136,226 and 296,974

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Solution

The third proportional to 136,226 and 296,974 is: 647,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,226 : 296,974 = 296,974 : x
  2. Step 2: Convert to fraction form
    136,226/296,974 = 296,974/x
  3. Step 3: Cross multiply
    136,226x = 296,974 × 296,974
  4. Step 4: Simplify right side
    136,226x = 88,193,556,676
  5. Step 5: Solve for x
    x = 88,193,556,676/136,226
  6. Step 6: Final answer
    x = 647,406.20

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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.