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Finding the Third Proportional to 161,389 and 344,741

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Solution

The third proportional to 161,389 and 344,741 is: 736,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,389 : 344,741 = 344,741 : x
  2. Step 2: Convert to fraction form
    161,389/344,741 = 344,741/x
  3. Step 3: Cross multiply
    161,389x = 344,741 × 344,741
  4. Step 4: Simplify right side
    161,389x = 118,846,357,081
  5. Step 5: Solve for x
    x = 118,846,357,081/161,389
  6. Step 6: Final answer
    x = 736,396.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.