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Finding the Third Proportional to 133,082 and 286,900

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Solution

The third proportional to 133,082 and 286,900 is: 618,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082 : 286,900 = 286,900 : x
  2. Step 2: Convert to fraction form
    133,082/286,900 = 286,900/x
  3. Step 3: Cross multiply
    133,082x = 286,900 × 286,900
  4. Step 4: Simplify right side
    133,082x = 82,311,610,000
  5. Step 5: Solve for x
    x = 82,311,610,000/133,082
  6. Step 6: Final answer
    x = 618,502.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.