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Finding the Third Proportional to 774,489 and 1,677,646

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Solution

The third proportional to 774,489 and 1,677,646 is: 3,634,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,489 : 1,677,646 = 1,677,646 : x
  2. Step 2: Convert to fraction form
    774,489/1,677,646 = 1,677,646/x
  3. Step 3: Cross multiply
    774,489x = 1,677,646 × 1,677,646
  4. Step 4: Simplify right side
    774,489x = 2,814,496,101,316
  5. Step 5: Solve for x
    x = 2,814,496,101,316/774,489
  6. Step 6: Final answer
    x = 3,634,003.97

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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.