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Finding the Third Proportional to 86,953 and 138,212

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Solution

The third proportional to 86,953 and 138,212 is: 219,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,953 : 138,212 = 138,212 : x
  2. Step 2: Convert to fraction form
    86,953/138,212 = 138,212/x
  3. Step 3: Cross multiply
    86,953x = 138,212 × 138,212
  4. Step 4: Simplify right side
    86,953x = 19,102,556,944
  5. Step 5: Solve for x
    x = 19,102,556,944/86,953
  6. Step 6: Final answer
    x = 219,688.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.