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Finding the Third Proportional to 774,478.13 and 1,677,665.25

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Solution

The third proportional to 774,478.13 and 1,677,665.25 is: 3,634,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,478.13 : 1,677,665.25 = 1,677,665.25 : x
  2. Step 2: Convert to fraction form
    774,478.13/1,677,665.25 = 1,677,665.25/x
  3. Step 3: Cross multiply
    774,478.13x = 1,677,665.25 × 1,677,665.25
  4. Step 4: Simplify right side
    774,478.13x = 2,814,560,691,057.56
  5. Step 5: Solve for x
    x = 2,814,560,691,057.56/774,478.13
  6. Step 6: Final answer
    x = 3,634,138.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.