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Finding the Third Proportional to 263,310 and 397,284

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Solution

The third proportional to 263,310 and 397,284 is: 599,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,310 : 397,284 = 397,284 : x
  2. Step 2: Convert to fraction form
    263,310/397,284 = 397,284/x
  3. Step 3: Cross multiply
    263,310x = 397,284 × 397,284
  4. Step 4: Simplify right side
    263,310x = 157,834,576,656
  5. Step 5: Solve for x
    x = 157,834,576,656/263,310
  6. Step 6: Final answer
    x = 599,424.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.