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Finding the Third Proportional to 116,260.31 and 164,553.40

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Solution

The third proportional to 116,260.31 and 164,553.40 is: 232,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,260.31 : 164,553.40 = 164,553.40 : x
  2. Step 2: Convert to fraction form
    116,260.31/164,553.40 = 164,553.40/x
  3. Step 3: Cross multiply
    116,260.31x = 164,553.40 × 164,553.40
  4. Step 4: Simplify right side
    116,260.31x = 27,077,820,937.33
  5. Step 5: Solve for x
    x = 27,077,820,937.33/116,260.31
  6. Step 6: Final answer
    x = 232,906.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.