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Finding the Third Proportional to 256,396 and 552,216

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Solution

The third proportional to 256,396 and 552,216 is: 1,189,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,396 : 552,216 = 552,216 : x
  2. Step 2: Convert to fraction form
    256,396/552,216 = 552,216/x
  3. Step 3: Cross multiply
    256,396x = 552,216 × 552,216
  4. Step 4: Simplify right side
    256,396x = 304,942,510,656
  5. Step 5: Solve for x
    x = 304,942,510,656/256,396
  6. Step 6: Final answer
    x = 1,189,341.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.