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Finding the Third Proportional to 218,744 and 342,695.50

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Solution

The third proportional to 218,744 and 342,695.50 is: 536,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,744 : 342,695.50 = 342,695.50 : x
  2. Step 2: Convert to fraction form
    218,744/342,695.50 = 342,695.50/x
  3. Step 3: Cross multiply
    218,744x = 342,695.50 × 342,695.50
  4. Step 4: Simplify right side
    218,744x = 117,440,205,720.25
  5. Step 5: Solve for x
    x = 117,440,205,720.25/218,744
  6. Step 6: Final answer
    x = 536,884.24

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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.