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Finding the Third Proportional to 274,626 and 578,774

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Solution

The third proportional to 274,626 and 578,774 is: 1,219,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,626 : 578,774 = 578,774 : x
  2. Step 2: Convert to fraction form
    274,626/578,774 = 578,774/x
  3. Step 3: Cross multiply
    274,626x = 578,774 × 578,774
  4. Step 4: Simplify right side
    274,626x = 334,979,343,076
  5. Step 5: Solve for x
    x = 334,979,343,076/274,626
  6. Step 6: Final answer
    x = 1,219,765.58

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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.