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Finding the Third Proportional to 133,440 and 293,123

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Solution

The third proportional to 133,440 and 293,123 is: 643,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,440 : 293,123 = 293,123 : x
  2. Step 2: Convert to fraction form
    133,440/293,123 = 293,123/x
  3. Step 3: Cross multiply
    133,440x = 293,123 × 293,123
  4. Step 4: Simplify right side
    133,440x = 85,921,093,129
  5. Step 5: Solve for x
    x = 85,921,093,129/133,440
  6. Step 6: Final answer
    x = 643,893.08

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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.