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Finding the Third Proportional to 67,311 and 141,489

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Solution

The third proportional to 67,311 and 141,489 is: 297,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,311 : 141,489 = 141,489 : x
  2. Step 2: Convert to fraction form
    67,311/141,489 = 141,489/x
  3. Step 3: Cross multiply
    67,311x = 141,489 × 141,489
  4. Step 4: Simplify right side
    67,311x = 20,019,137,121
  5. Step 5: Solve for x
    x = 20,019,137,121/67,311
  6. Step 6: Final answer
    x = 297,412.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.