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Finding the Third Proportional to 71,145 and 164,709

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Solution

The third proportional to 71,145 and 164,709 is: 381,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,145 : 164,709 = 164,709 : x
  2. Step 2: Convert to fraction form
    71,145/164,709 = 164,709/x
  3. Step 3: Cross multiply
    71,145x = 164,709 × 164,709
  4. Step 4: Simplify right side
    71,145x = 27,129,054,681
  5. Step 5: Solve for x
    x = 27,129,054,681/71,145
  6. Step 6: Final answer
    x = 381,320.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.