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Finding the Third Proportional to 410,344 and 618,216

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Solution

The third proportional to 410,344 and 618,216 is: 931,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,344 : 618,216 = 618,216 : x
  2. Step 2: Convert to fraction form
    410,344/618,216 = 618,216/x
  3. Step 3: Cross multiply
    410,344x = 618,216 × 618,216
  4. Step 4: Simplify right side
    410,344x = 382,191,022,656
  5. Step 5: Solve for x
    x = 382,191,022,656/410,344
  6. Step 6: Final answer
    x = 931,391.77

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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.