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Finding the Third Proportional to 168,240 and 369,216

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Solution

The third proportional to 168,240 and 369,216 is: 810,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,240 : 369,216 = 369,216 : x
  2. Step 2: Convert to fraction form
    168,240/369,216 = 369,216/x
  3. Step 3: Cross multiply
    168,240x = 369,216 × 369,216
  4. Step 4: Simplify right side
    168,240x = 136,320,454,656
  5. Step 5: Solve for x
    x = 136,320,454,656/168,240
  6. Step 6: Final answer
    x = 810,273.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.