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Finding the Third Proportional to 475,992 and 991,440

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Solution

The third proportional to 475,992 and 991,440 is: 2,065,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,992 : 991,440 = 991,440 : x
  2. Step 2: Convert to fraction form
    475,992/991,440 = 991,440/x
  3. Step 3: Cross multiply
    475,992x = 991,440 × 991,440
  4. Step 4: Simplify right side
    475,992x = 982,953,273,600
  5. Step 5: Solve for x
    x = 982,953,273,600/475,992
  6. Step 6: Final answer
    x = 2,065,062.59

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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.