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Finding the Third Proportional to 417,212 and 897,320

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Solution

The third proportional to 417,212 and 897,320 is: 1,929,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,212 : 897,320 = 897,320 : x
  2. Step 2: Convert to fraction form
    417,212/897,320 = 897,320/x
  3. Step 3: Cross multiply
    417,212x = 897,320 × 897,320
  4. Step 4: Simplify right side
    417,212x = 805,183,182,400
  5. Step 5: Solve for x
    x = 805,183,182,400/417,212
  6. Step 6: Final answer
    x = 1,929,913.77

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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.