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Finding the Third Proportional to 389,986 and 810,592

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Solution

The third proportional to 389,986 and 810,592 is: 1,684,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,986 : 810,592 = 810,592 : x
  2. Step 2: Convert to fraction form
    389,986/810,592 = 810,592/x
  3. Step 3: Cross multiply
    389,986x = 810,592 × 810,592
  4. Step 4: Simplify right side
    389,986x = 657,059,390,464
  5. Step 5: Solve for x
    x = 657,059,390,464/389,986
  6. Step 6: Final answer
    x = 1,684,828.15

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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.