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Finding the Third Proportional to 136,474 and 296,257

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Solution

The third proportional to 136,474 and 296,257 is: 643,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,474 : 296,257 = 296,257 : x
  2. Step 2: Convert to fraction form
    136,474/296,257 = 296,257/x
  3. Step 3: Cross multiply
    136,474x = 296,257 × 296,257
  4. Step 4: Simplify right side
    136,474x = 87,768,210,049
  5. Step 5: Solve for x
    x = 87,768,210,049/136,474
  6. Step 6: Final answer
    x = 643,113.05

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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.