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Finding the Third Proportional to 218,717 and 342,654.50

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Solution

The third proportional to 218,717 and 342,654.50 is: 536,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,717 : 342,654.50 = 342,654.50 : x
  2. Step 2: Convert to fraction form
    218,717/342,654.50 = 342,654.50/x
  3. Step 3: Cross multiply
    218,717x = 342,654.50 × 342,654.50
  4. Step 4: Simplify right side
    218,717x = 117,412,106,370.25
  5. Step 5: Solve for x
    x = 117,412,106,370.25/218,717
  6. Step 6: Final answer
    x = 536,822.04

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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.