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Finding the Third Proportional to 76,612 and 162,476

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Solution

The third proportional to 76,612 and 162,476 is: 344,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,612 : 162,476 = 162,476 : x
  2. Step 2: Convert to fraction form
    76,612/162,476 = 162,476/x
  3. Step 3: Cross multiply
    76,612x = 162,476 × 162,476
  4. Step 4: Simplify right side
    76,612x = 26,398,450,576
  5. Step 5: Solve for x
    x = 26,398,450,576/76,612
  6. Step 6: Final answer
    x = 344,573.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.