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Finding the Third Proportional to 578,976 and 1,256,980

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Solution

The third proportional to 578,976 and 1,256,980 is: 2,728,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,976 : 1,256,980 = 1,256,980 : x
  2. Step 2: Convert to fraction form
    578,976/1,256,980 = 1,256,980/x
  3. Step 3: Cross multiply
    578,976x = 1,256,980 × 1,256,980
  4. Step 4: Simplify right side
    578,976x = 1,579,998,720,400
  5. Step 5: Solve for x
    x = 1,579,998,720,400/578,976
  6. Step 6: Final answer
    x = 2,728,953.74

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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.