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Finding the Third Proportional to 687,920 and 990,860

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Solution

The third proportional to 687,920 and 990,860 is: 1,427,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,920 : 990,860 = 990,860 : x
  2. Step 2: Convert to fraction form
    687,920/990,860 = 990,860/x
  3. Step 3: Cross multiply
    687,920x = 990,860 × 990,860
  4. Step 4: Simplify right side
    687,920x = 981,803,539,600
  5. Step 5: Solve for x
    x = 981,803,539,600/687,920
  6. Step 6: Final answer
    x = 1,427,205.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.