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Finding the Third Proportional to 133,262 and 286,286

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Solution

The third proportional to 133,262 and 286,286 is: 615,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,262 : 286,286 = 286,286 : x
  2. Step 2: Convert to fraction form
    133,262/286,286 = 286,286/x
  3. Step 3: Cross multiply
    133,262x = 286,286 × 286,286
  4. Step 4: Simplify right side
    133,262x = 81,959,673,796
  5. Step 5: Solve for x
    x = 81,959,673,796/133,262
  6. Step 6: Final answer
    x = 615,026.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.