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Finding the Third Proportional to 205,315.50 and 274,639.50

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Solution

The third proportional to 205,315.50 and 274,639.50 is: 367,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,315.50 : 274,639.50 = 274,639.50 : x
  2. Step 2: Convert to fraction form
    205,315.50/274,639.50 = 274,639.50/x
  3. Step 3: Cross multiply
    205,315.50x = 274,639.50 × 274,639.50
  4. Step 4: Simplify right side
    205,315.50x = 75,426,854,960.25
  5. Step 5: Solve for x
    x = 75,426,854,960.25/205,315.50
  6. Step 6: Final answer
    x = 367,370.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.