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Finding the Third Proportional to 422,217 and 914,904

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Solution

The third proportional to 422,217 and 914,904 is: 1,982,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,217 : 914,904 = 914,904 : x
  2. Step 2: Convert to fraction form
    422,217/914,904 = 914,904/x
  3. Step 3: Cross multiply
    422,217x = 914,904 × 914,904
  4. Step 4: Simplify right side
    422,217x = 837,049,329,216
  5. Step 5: Solve for x
    x = 837,049,329,216/422,217
  6. Step 6: Final answer
    x = 1,982,509.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.