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Finding the Third Proportional to 161,567 and 342,816

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Solution

The third proportional to 161,567 and 342,816 is: 727,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,567 : 342,816 = 342,816 : x
  2. Step 2: Convert to fraction form
    161,567/342,816 = 342,816/x
  3. Step 3: Cross multiply
    161,567x = 342,816 × 342,816
  4. Step 4: Simplify right side
    161,567x = 117,522,809,856
  5. Step 5: Solve for x
    x = 117,522,809,856/161,567
  6. Step 6: Final answer
    x = 727,393.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.