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Finding the Third Proportional to 691,811 and 883,978

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Solution

The third proportional to 691,811 and 883,978 is: 1,129,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,811 : 883,978 = 883,978 : x
  2. Step 2: Convert to fraction form
    691,811/883,978 = 883,978/x
  3. Step 3: Cross multiply
    691,811x = 883,978 × 883,978
  4. Step 4: Simplify right side
    691,811x = 781,417,104,484
  5. Step 5: Solve for x
    x = 781,417,104,484/691,811
  6. Step 6: Final answer
    x = 1,129,523.97

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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.