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Finding the Third Proportional to 161,711 and 340,179

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Solution

The third proportional to 161,711 and 340,179 is: 715,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,711 : 340,179 = 340,179 : x
  2. Step 2: Convert to fraction form
    161,711/340,179 = 340,179/x
  3. Step 3: Cross multiply
    161,711x = 340,179 × 340,179
  4. Step 4: Simplify right side
    161,711x = 115,721,752,041
  5. Step 5: Solve for x
    x = 115,721,752,041/161,711
  6. Step 6: Final answer
    x = 715,608.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.