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Finding the Third Proportional to 133,443 and 293,127

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Solution

The third proportional to 133,443 and 293,127 is: 643,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,443 : 293,127 = 293,127 : x
  2. Step 2: Convert to fraction form
    133,443/293,127 = 293,127/x
  3. Step 3: Cross multiply
    133,443x = 293,127 × 293,127
  4. Step 4: Simplify right side
    133,443x = 85,923,438,129
  5. Step 5: Solve for x
    x = 85,923,438,129/133,443
  6. Step 6: Final answer
    x = 643,896.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.