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Finding the Third Proportional to 86,038 and 138,515

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Solution

The third proportional to 86,038 and 138,515 is: 222,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,038 : 138,515 = 138,515 : x
  2. Step 2: Convert to fraction form
    86,038/138,515 = 138,515/x
  3. Step 3: Cross multiply
    86,038x = 138,515 × 138,515
  4. Step 4: Simplify right side
    86,038x = 19,186,405,225
  5. Step 5: Solve for x
    x = 19,186,405,225/86,038
  6. Step 6: Final answer
    x = 222,999.20

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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.