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Finding the Third Proportional to 30,082 and 65,472

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Solution

The third proportional to 30,082 and 65,472 is: 142,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082 : 65,472 = 65,472 : x
  2. Step 2: Convert to fraction form
    30,082/65,472 = 65,472/x
  3. Step 3: Cross multiply
    30,082x = 65,472 × 65,472
  4. Step 4: Simplify right side
    30,082x = 4,286,582,784
  5. Step 5: Solve for x
    x = 4,286,582,784/30,082
  6. Step 6: Final answer
    x = 142,496.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.