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Finding the Third Proportional to 378,657 and 810,516

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Solution

The third proportional to 378,657 and 810,516 is: 1,734,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,657 : 810,516 = 810,516 : x
  2. Step 2: Convert to fraction form
    378,657/810,516 = 810,516/x
  3. Step 3: Cross multiply
    378,657x = 810,516 × 810,516
  4. Step 4: Simplify right side
    378,657x = 656,936,186,256
  5. Step 5: Solve for x
    x = 656,936,186,256/378,657
  6. Step 6: Final answer
    x = 1,734,910.98

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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.