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Finding the Third Proportional to 136,005 and 296,208

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Solution

The third proportional to 136,005 and 296,208 is: 645,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,005 : 296,208 = 296,208 : x
  2. Step 2: Convert to fraction form
    136,005/296,208 = 296,208/x
  3. Step 3: Cross multiply
    136,005x = 296,208 × 296,208
  4. Step 4: Simplify right side
    136,005x = 87,739,179,264
  5. Step 5: Solve for x
    x = 87,739,179,264/136,005
  6. Step 6: Final answer
    x = 645,117.31

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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.