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Finding the Third Proportional to 869,505 and 1,313,775

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Solution

The third proportional to 869,505 and 1,313,775 is: 1,985,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,505 : 1,313,775 = 1,313,775 : x
  2. Step 2: Convert to fraction form
    869,505/1,313,775 = 1,313,775/x
  3. Step 3: Cross multiply
    869,505x = 1,313,775 × 1,313,775
  4. Step 4: Simplify right side
    869,505x = 1,726,004,750,625
  5. Step 5: Solve for x
    x = 1,726,004,750,625/869,505
  6. Step 6: Final answer
    x = 1,985,042.93

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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.