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Finding the Third Proportional to 691,819 and 883,990

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Solution

The third proportional to 691,819 and 883,990 is: 1,129,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,819 : 883,990 = 883,990 : x
  2. Step 2: Convert to fraction form
    691,819/883,990 = 883,990/x
  3. Step 3: Cross multiply
    691,819x = 883,990 × 883,990
  4. Step 4: Simplify right side
    691,819x = 781,438,320,100
  5. Step 5: Solve for x
    x = 781,438,320,100/691,819
  6. Step 6: Final answer
    x = 1,129,541.57

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.