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Finding the Third Proportional to 552,199 and 810,121

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Solution

The third proportional to 552,199 and 810,121 is: 1,188,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,199 : 810,121 = 810,121 : x
  2. Step 2: Convert to fraction form
    552,199/810,121 = 810,121/x
  3. Step 3: Cross multiply
    552,199x = 810,121 × 810,121
  4. Step 4: Simplify right side
    552,199x = 656,296,034,641
  5. Step 5: Solve for x
    x = 656,296,034,641/552,199
  6. Step 6: Final answer
    x = 1,188,513.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.