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Finding the Third Proportional to 274,617.75 and 578,760

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Solution

The third proportional to 274,617.75 and 578,760 is: 1,219,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,617.75 : 578,760 = 578,760 : x
  2. Step 2: Convert to fraction form
    274,617.75/578,760 = 578,760/x
  3. Step 3: Cross multiply
    274,617.75x = 578,760 × 578,760
  4. Step 4: Simplify right side
    274,617.75x = 334,963,137,600
  5. Step 5: Solve for x
    x = 334,963,137,600/274,617.75
  6. Step 6: Final answer
    x = 1,219,743.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.