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Finding the Third Proportional to 417,200 and 897,278

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Solution

The third proportional to 417,200 and 897,278 is: 1,929,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,200 : 897,278 = 897,278 : x
  2. Step 2: Convert to fraction form
    417,200/897,278 = 897,278/x
  3. Step 3: Cross multiply
    417,200x = 897,278 × 897,278
  4. Step 4: Simplify right side
    417,200x = 805,107,809,284
  5. Step 5: Solve for x
    x = 805,107,809,284/417,200
  6. Step 6: Final answer
    x = 1,929,788.61

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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.