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Finding the Third Proportional to 218,774 and 342,723

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Solution

The third proportional to 218,774 and 342,723 is: 536,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,774 : 342,723 = 342,723 : x
  2. Step 2: Convert to fraction form
    218,774/342,723 = 342,723/x
  3. Step 3: Cross multiply
    218,774x = 342,723 × 342,723
  4. Step 4: Simplify right side
    218,774x = 117,459,054,729
  5. Step 5: Solve for x
    x = 117,459,054,729/218,774
  6. Step 6: Final answer
    x = 536,896.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.