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Finding the Third Proportional to 133,264 and 286,288

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Solution

The third proportional to 133,264 and 286,288 is: 615,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,264 : 286,288 = 286,288 : x
  2. Step 2: Convert to fraction form
    133,264/286,288 = 286,288/x
  3. Step 3: Cross multiply
    133,264x = 286,288 × 286,288
  4. Step 4: Simplify right side
    133,264x = 81,960,818,944
  5. Step 5: Solve for x
    x = 81,960,818,944/133,264
  6. Step 6: Final answer
    x = 615,025.96

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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.