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Finding the Third Proportional to 138,956 and 293,224

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Solution

The third proportional to 138,956 and 293,224 is: 618,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,956 : 293,224 = 293,224 : x
  2. Step 2: Convert to fraction form
    138,956/293,224 = 293,224/x
  3. Step 3: Cross multiply
    138,956x = 293,224 × 293,224
  4. Step 4: Simplify right side
    138,956x = 85,980,314,176
  5. Step 5: Solve for x
    x = 85,980,314,176/138,956
  6. Step 6: Final answer
    x = 618,759.28

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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.