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Finding the Third Proportional to 218,419.50 and 342,696

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Solution

The third proportional to 218,419.50 and 342,696 is: 537,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,419.50 : 342,696 = 342,696 : x
  2. Step 2: Convert to fraction form
    218,419.50/342,696 = 342,696/x
  3. Step 3: Cross multiply
    218,419.50x = 342,696 × 342,696
  4. Step 4: Simplify right side
    218,419.50x = 117,440,548,416
  5. Step 5: Solve for x
    x = 117,440,548,416/218,419.50
  6. Step 6: Final answer
    x = 537,683.44

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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.