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Finding the Third Proportional to 475,983 and 991,422

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Solution

The third proportional to 475,983 and 991,422 is: 2,065,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,983 : 991,422 = 991,422 : x
  2. Step 2: Convert to fraction form
    475,983/991,422 = 991,422/x
  3. Step 3: Cross multiply
    475,983x = 991,422 × 991,422
  4. Step 4: Simplify right side
    475,983x = 982,917,582,084
  5. Step 5: Solve for x
    x = 982,917,582,084/475,983
  6. Step 6: Final answer
    x = 2,065,026.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.