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Finding the Third Proportional to 379,241 and 812,458

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Solution

The third proportional to 379,241 and 812,458 is: 1,740,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,241 : 812,458 = 812,458 : x
  2. Step 2: Convert to fraction form
    379,241/812,458 = 812,458/x
  3. Step 3: Cross multiply
    379,241x = 812,458 × 812,458
  4. Step 4: Simplify right side
    379,241x = 660,088,001,764
  5. Step 5: Solve for x
    x = 660,088,001,764/379,241
  6. Step 6: Final answer
    x = 1,740,550.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.