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Finding the Third Proportional to 113,021 and 138,293

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Solution

The third proportional to 113,021 and 138,293 is: 169,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,021 : 138,293 = 138,293 : x
  2. Step 2: Convert to fraction form
    113,021/138,293 = 138,293/x
  3. Step 3: Cross multiply
    113,021x = 138,293 × 138,293
  4. Step 4: Simplify right side
    113,021x = 19,124,953,849
  5. Step 5: Solve for x
    x = 19,124,953,849/113,021
  6. Step 6: Final answer
    x = 169,215.93

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.