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Finding the Third Proportional to 30,458 and 66,082

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Solution

The third proportional to 30,458 and 66,082 is: 143,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458 : 66,082 = 66,082 : x
  2. Step 2: Convert to fraction form
    30,458/66,082 = 66,082/x
  3. Step 3: Cross multiply
    30,458x = 66,082 × 66,082
  4. Step 4: Simplify right side
    30,458x = 4,366,830,724
  5. Step 5: Solve for x
    x = 4,366,830,724/30,458
  6. Step 6: Final answer
    x = 143,372.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.