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Finding the Third Proportional to 138,262 and 291,278

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Solution

The third proportional to 138,262 and 291,278 is: 613,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,262 : 291,278 = 291,278 : x
  2. Step 2: Convert to fraction form
    138,262/291,278 = 291,278/x
  3. Step 3: Cross multiply
    138,262x = 291,278 × 291,278
  4. Step 4: Simplify right side
    138,262x = 84,842,873,284
  5. Step 5: Solve for x
    x = 84,842,873,284/138,262
  6. Step 6: Final answer
    x = 613,638.41

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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.