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Finding the Third Proportional to 71,528 and 108,212

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Solution

The third proportional to 71,528 and 108,212 is: 163,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,528 : 108,212 = 108,212 : x
  2. Step 2: Convert to fraction form
    71,528/108,212 = 108,212/x
  3. Step 3: Cross multiply
    71,528x = 108,212 × 108,212
  4. Step 4: Simplify right side
    71,528x = 11,709,836,944
  5. Step 5: Solve for x
    x = 11,709,836,944/71,528
  6. Step 6: Final answer
    x = 163,709.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.