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Finding the Third Proportional to 378,753.75 and 810,711

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Solution

The third proportional to 378,753.75 and 810,711 is: 1,735,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,753.75 : 810,711 = 810,711 : x
  2. Step 2: Convert to fraction form
    378,753.75/810,711 = 810,711/x
  3. Step 3: Cross multiply
    378,753.75x = 810,711 × 810,711
  4. Step 4: Simplify right side
    378,753.75x = 657,252,325,521
  5. Step 5: Solve for x
    x = 657,252,325,521/378,753.75
  6. Step 6: Final answer
    x = 1,735,302.49

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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.