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Finding the Third Proportional to 217,761 and 342,193.50

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Solution

The third proportional to 217,761 and 342,193.50 is: 537,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,761 : 342,193.50 = 342,193.50 : x
  2. Step 2: Convert to fraction form
    217,761/342,193.50 = 342,193.50/x
  3. Step 3: Cross multiply
    217,761x = 342,193.50 × 342,193.50
  4. Step 4: Simplify right side
    217,761x = 117,096,391,442.25
  5. Step 5: Solve for x
    x = 117,096,391,442.25/217,761
  6. Step 6: Final answer
    x = 537,728.94

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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.