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Finding the Third Proportional to 169,360 and 378,816

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Solution

The third proportional to 169,360 and 378,816 is: 847,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,360 : 378,816 = 378,816 : x
  2. Step 2: Convert to fraction form
    169,360/378,816 = 378,816/x
  3. Step 3: Cross multiply
    169,360x = 378,816 × 378,816
  4. Step 4: Simplify right side
    169,360x = 143,501,561,856
  5. Step 5: Solve for x
    x = 143,501,561,856/169,360
  6. Step 6: Final answer
    x = 847,316.73

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.