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Finding the Third Proportional to 408,564 and 675,216

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Solution

The third proportional to 408,564 and 675,216 is: 1,115,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,564 : 675,216 = 675,216 : x
  2. Step 2: Convert to fraction form
    408,564/675,216 = 675,216/x
  3. Step 3: Cross multiply
    408,564x = 675,216 × 675,216
  4. Step 4: Simplify right side
    408,564x = 455,916,646,656
  5. Step 5: Solve for x
    x = 455,916,646,656/408,564
  6. Step 6: Final answer
    x = 1,115,900.19

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.