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Finding the Third Proportional to 138,642 and 223,212

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Solution

The third proportional to 138,642 and 223,212 is: 359,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,642 : 223,212 = 223,212 : x
  2. Step 2: Convert to fraction form
    138,642/223,212 = 223,212/x
  3. Step 3: Cross multiply
    138,642x = 223,212 × 223,212
  4. Step 4: Simplify right side
    138,642x = 49,823,596,944
  5. Step 5: Solve for x
    x = 49,823,596,944/138,642
  6. Step 6: Final answer
    x = 359,368.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.