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Finding the Third Proportional to 157,785 and 344,481

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Solution

The third proportional to 157,785 and 344,481 is: 752,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,785 : 344,481 = 344,481 : x
  2. Step 2: Convert to fraction form
    157,785/344,481 = 344,481/x
  3. Step 3: Cross multiply
    157,785x = 344,481 × 344,481
  4. Step 4: Simplify right side
    157,785x = 118,667,159,361
  5. Step 5: Solve for x
    x = 118,667,159,361/157,785
  6. Step 6: Final answer
    x = 752,081.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.