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Finding the Third Proportional to 30,382.50 and 66,213

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Solution

The third proportional to 30,382.50 and 66,213 is: 144,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.50 : 66,213 = 66,213 : x
  2. Step 2: Convert to fraction form
    30,382.50/66,213 = 66,213/x
  3. Step 3: Cross multiply
    30,382.50x = 66,213 × 66,213
  4. Step 4: Simplify right side
    30,382.50x = 4,384,161,369
  5. Step 5: Solve for x
    x = 4,384,161,369/30,382.50
  6. Step 6: Final answer
    x = 144,298.90

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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.