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Finding the Third Proportional to 378,516 and 812,832

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Solution

The third proportional to 378,516 and 812,832 is: 1,745,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,516 : 812,832 = 812,832 : x
  2. Step 2: Convert to fraction form
    378,516/812,832 = 812,832/x
  3. Step 3: Cross multiply
    378,516x = 812,832 × 812,832
  4. Step 4: Simplify right side
    378,516x = 660,695,860,224
  5. Step 5: Solve for x
    x = 660,695,860,224/378,516
  6. Step 6: Final answer
    x = 1,745,489.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.