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Finding the Third Proportional to 155,853 and 340,866

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Solution

The third proportional to 155,853 and 340,866 is: 745,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,853 : 340,866 = 340,866 : x
  2. Step 2: Convert to fraction form
    155,853/340,866 = 340,866/x
  3. Step 3: Cross multiply
    155,853x = 340,866 × 340,866
  4. Step 4: Simplify right side
    155,853x = 116,189,629,956
  5. Step 5: Solve for x
    x = 116,189,629,956/155,853
  6. Step 6: Final answer
    x = 745,507.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.