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Finding the Third Proportional to 417,206 and 897,308

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Solution

The third proportional to 417,206 and 897,308 is: 1,929,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,206 : 897,308 = 897,308 : x
  2. Step 2: Convert to fraction form
    417,206/897,308 = 897,308/x
  3. Step 3: Cross multiply
    417,206x = 897,308 × 897,308
  4. Step 4: Simplify right side
    417,206x = 805,161,646,864
  5. Step 5: Solve for x
    x = 805,161,646,864/417,206
  6. Step 6: Final answer
    x = 1,929,889.90

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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.