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Finding the Third Proportional to 774,508 and 1,677,684

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Solution

The third proportional to 774,508 and 1,677,684 is: 3,634,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,508 : 1,677,684 = 1,677,684 : x
  2. Step 2: Convert to fraction form
    774,508/1,677,684 = 1,677,684/x
  3. Step 3: Cross multiply
    774,508x = 1,677,684 × 1,677,684
  4. Step 4: Simplify right side
    774,508x = 2,814,623,603,856
  5. Step 5: Solve for x
    x = 2,814,623,603,856/774,508
  6. Step 6: Final answer
    x = 3,634,079.45

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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.