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Finding the Third Proportional to 813,631 and 1,769,965

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Solution

The third proportional to 813,631 and 1,769,965 is: 3,850,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,631 : 1,769,965 = 1,769,965 : x
  2. Step 2: Convert to fraction form
    813,631/1,769,965 = 1,769,965/x
  3. Step 3: Cross multiply
    813,631x = 1,769,965 × 1,769,965
  4. Step 4: Simplify right side
    813,631x = 3,132,776,101,225
  5. Step 5: Solve for x
    x = 3,132,776,101,225/813,631
  6. Step 6: Final answer
    x = 3,850,364.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.