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Finding the Third Proportional to 774,509 and 1,677,687

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Solution

The third proportional to 774,509 and 1,677,687 is: 3,634,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,509 : 1,677,687 = 1,677,687 : x
  2. Step 2: Convert to fraction form
    774,509/1,677,687 = 1,677,687/x
  3. Step 3: Cross multiply
    774,509x = 1,677,687 × 1,677,687
  4. Step 4: Simplify right side
    774,509x = 2,814,633,669,969
  5. Step 5: Solve for x
    x = 2,814,633,669,969/774,509
  6. Step 6: Final answer
    x = 3,634,087.75

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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.