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Finding the Third Proportional to 68,115 and 148,491

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Solution

The third proportional to 68,115 and 148,491 is: 323,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,115 : 148,491 = 148,491 : x
  2. Step 2: Convert to fraction form
    68,115/148,491 = 148,491/x
  3. Step 3: Cross multiply
    68,115x = 148,491 × 148,491
  4. Step 4: Simplify right side
    68,115x = 22,049,577,081
  5. Step 5: Solve for x
    x = 22,049,577,081/68,115
  6. Step 6: Final answer
    x = 323,711.03

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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.