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Finding the Third Proportional to 67,821 and 147,318

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Solution

The third proportional to 67,821 and 147,318 is: 319,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,821 : 147,318 = 147,318 : x
  2. Step 2: Convert to fraction form
    67,821/147,318 = 147,318/x
  3. Step 3: Cross multiply
    67,821x = 147,318 × 147,318
  4. Step 4: Simplify right side
    67,821x = 21,702,593,124
  5. Step 5: Solve for x
    x = 21,702,593,124/67,821
  6. Step 6: Final answer
    x = 319,998.13

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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.