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Finding the Third Proportional to 379,244 and 812,464

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Solution

The third proportional to 379,244 and 812,464 is: 1,740,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,244 : 812,464 = 812,464 : x
  2. Step 2: Convert to fraction form
    379,244/812,464 = 812,464/x
  3. Step 3: Cross multiply
    379,244x = 812,464 × 812,464
  4. Step 4: Simplify right side
    379,244x = 660,097,751,296
  5. Step 5: Solve for x
    x = 660,097,751,296/379,244
  6. Step 6: Final answer
    x = 1,740,562.15

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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.