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Finding the Third Proportional to 356,640 and 774,720

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Solution

The third proportional to 356,640 and 774,720 is: 1,682,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,640 : 774,720 = 774,720 : x
  2. Step 2: Convert to fraction form
    356,640/774,720 = 774,720/x
  3. Step 3: Cross multiply
    356,640x = 774,720 × 774,720
  4. Step 4: Simplify right side
    356,640x = 600,191,078,400
  5. Step 5: Solve for x
    x = 600,191,078,400/356,640
  6. Step 6: Final answer
    x = 1,682,904.55

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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.