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Finding the Third Proportional to 684,817 and 986,407

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Solution

The third proportional to 684,817 and 986,407 is: 1,420,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,817 : 986,407 = 986,407 : x
  2. Step 2: Convert to fraction form
    684,817/986,407 = 986,407/x
  3. Step 3: Cross multiply
    684,817x = 986,407 × 986,407
  4. Step 4: Simplify right side
    684,817x = 972,998,769,649
  5. Step 5: Solve for x
    x = 972,998,769,649/684,817
  6. Step 6: Final answer
    x = 1,420,815.74

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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.