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Finding the Third Proportional to 86,996 and 138,270

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Solution

The third proportional to 86,996 and 138,270 is: 219,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,996 : 138,270 = 138,270 : x
  2. Step 2: Convert to fraction form
    86,996/138,270 = 138,270/x
  3. Step 3: Cross multiply
    86,996x = 138,270 × 138,270
  4. Step 4: Simplify right side
    86,996x = 19,118,592,900
  5. Step 5: Solve for x
    x = 19,118,592,900/86,996
  6. Step 6: Final answer
    x = 219,764.05

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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.