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Finding the Third Proportional to 138,251 and 291,250

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Solution

The third proportional to 138,251 and 291,250 is: 613,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,251 : 291,250 = 291,250 : x
  2. Step 2: Convert to fraction form
    138,251/291,250 = 291,250/x
  3. Step 3: Cross multiply
    138,251x = 291,250 × 291,250
  4. Step 4: Simplify right side
    138,251x = 84,826,562,500
  5. Step 5: Solve for x
    x = 84,826,562,500/138,251
  6. Step 6: Final answer
    x = 613,569.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.