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Finding the Third Proportional to 365,418 and 813,881

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Solution

The third proportional to 365,418 and 813,881 is: 1,812,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,418 : 813,881 = 813,881 : x
  2. Step 2: Convert to fraction form
    365,418/813,881 = 813,881/x
  3. Step 3: Cross multiply
    365,418x = 813,881 × 813,881
  4. Step 4: Simplify right side
    365,418x = 662,402,282,161
  5. Step 5: Solve for x
    x = 662,402,282,161/365,418
  6. Step 6: Final answer
    x = 1,812,724.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.