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Finding the Third Proportional to 68,065 and 147,074

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Solution

The third proportional to 68,065 and 147,074 is: 317,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,065 : 147,074 = 147,074 : x
  2. Step 2: Convert to fraction form
    68,065/147,074 = 147,074/x
  3. Step 3: Cross multiply
    68,065x = 147,074 × 147,074
  4. Step 4: Simplify right side
    68,065x = 21,630,761,476
  5. Step 5: Solve for x
    x = 21,630,761,476/68,065
  6. Step 6: Final answer
    x = 317,795.66

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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.