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Finding the Third Proportional to 133,259 and 286,282

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Solution

The third proportional to 133,259 and 286,282 is: 615,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,259 : 286,282 = 286,282 : x
  2. Step 2: Convert to fraction form
    133,259/286,282 = 286,282/x
  3. Step 3: Cross multiply
    133,259x = 286,282 × 286,282
  4. Step 4: Simplify right side
    133,259x = 81,957,383,524
  5. Step 5: Solve for x
    x = 81,957,383,524/133,259
  6. Step 6: Final answer
    x = 615,023.25

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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.