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Finding the Third Proportional to 774,078 and 1,172,781

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Solution

The third proportional to 774,078 and 1,172,781 is: 1,776,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,078 : 1,172,781 = 1,172,781 : x
  2. Step 2: Convert to fraction form
    774,078/1,172,781 = 1,172,781/x
  3. Step 3: Cross multiply
    774,078x = 1,172,781 × 1,172,781
  4. Step 4: Simplify right side
    774,078x = 1,375,415,273,961
  5. Step 5: Solve for x
    x = 1,375,415,273,961/774,078
  6. Step 6: Final answer
    x = 1,776,843.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.