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Finding the Third Proportional to 133,448 and 293,138

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Solution

The third proportional to 133,448 and 293,138 is: 643,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,448 : 293,138 = 293,138 : x
  2. Step 2: Convert to fraction form
    133,448/293,138 = 293,138/x
  3. Step 3: Cross multiply
    133,448x = 293,138 × 293,138
  4. Step 4: Simplify right side
    133,448x = 85,929,887,044
  5. Step 5: Solve for x
    x = 85,929,887,044/133,448
  6. Step 6: Final answer
    x = 643,920.38

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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.