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Finding the Third Proportional to 691,814 and 883,979

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Solution

The third proportional to 691,814 and 883,979 is: 1,129,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,814 : 883,979 = 883,979 : x
  2. Step 2: Convert to fraction form
    691,814/883,979 = 883,979/x
  3. Step 3: Cross multiply
    691,814x = 883,979 × 883,979
  4. Step 4: Simplify right side
    691,814x = 781,418,872,441
  5. Step 5: Solve for x
    x = 781,418,872,441/691,814
  6. Step 6: Final answer
    x = 1,129,521.62

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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.