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Finding the Third Proportional to 869,838 and 1,330,593

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Solution

The third proportional to 869,838 and 1,330,593 is: 2,035,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,838 : 1,330,593 = 1,330,593 : x
  2. Step 2: Convert to fraction form
    869,838/1,330,593 = 1,330,593/x
  3. Step 3: Cross multiply
    869,838x = 1,330,593 × 1,330,593
  4. Step 4: Simplify right side
    869,838x = 1,770,477,731,649
  5. Step 5: Solve for x
    x = 1,770,477,731,649/869,838
  6. Step 6: Final answer
    x = 2,035,410.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.