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Finding the Third Proportional to 638,390 and 965,199

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Solution

The third proportional to 638,390 and 965,199 is: 1,459,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,390 : 965,199 = 965,199 : x
  2. Step 2: Convert to fraction form
    638,390/965,199 = 965,199/x
  3. Step 3: Cross multiply
    638,390x = 965,199 × 965,199
  4. Step 4: Simplify right side
    638,390x = 931,609,109,601
  5. Step 5: Solve for x
    x = 931,609,109,601/638,390
  6. Step 6: Final answer
    x = 1,459,310.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.