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Finding the Third Proportional to 217,750.50 and 342,180

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Solution

The third proportional to 217,750.50 and 342,180 is: 537,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,750.50 : 342,180 = 342,180 : x
  2. Step 2: Convert to fraction form
    217,750.50/342,180 = 342,180/x
  3. Step 3: Cross multiply
    217,750.50x = 342,180 × 342,180
  4. Step 4: Simplify right side
    217,750.50x = 117,087,152,400
  5. Step 5: Solve for x
    x = 117,087,152,400/217,750.50
  6. Step 6: Final answer
    x = 537,712.44

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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.