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Finding the Third Proportional to 552,665 and 810,867

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Solution

The third proportional to 552,665 and 810,867 is: 1,189,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,665 : 810,867 = 810,867 : x
  2. Step 2: Convert to fraction form
    552,665/810,867 = 810,867/x
  3. Step 3: Cross multiply
    552,665x = 810,867 × 810,867
  4. Step 4: Simplify right side
    552,665x = 657,505,291,689
  5. Step 5: Solve for x
    x = 657,505,291,689/552,665
  6. Step 6: Final answer
    x = 1,189,699.53

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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.