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Finding the Third Proportional to 30,812 and 66,429

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Solution

The third proportional to 30,812 and 66,429 is: 143,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812 : 66,429 = 66,429 : x
  2. Step 2: Convert to fraction form
    30,812/66,429 = 66,429/x
  3. Step 3: Cross multiply
    30,812x = 66,429 × 66,429
  4. Step 4: Simplify right side
    30,812x = 4,412,812,041
  5. Step 5: Solve for x
    x = 4,412,812,041/30,812
  6. Step 6: Final answer
    x = 143,217.32

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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.