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Finding the Third Proportional to 220,826.25 and 342,569.25

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Solution

The third proportional to 220,826.25 and 342,569.25 is: 531,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,826.25 : 342,569.25 = 342,569.25 : x
  2. Step 2: Convert to fraction form
    220,826.25/342,569.25 = 342,569.25/x
  3. Step 3: Cross multiply
    220,826.25x = 342,569.25 × 342,569.25
  4. Step 4: Simplify right side
    220,826.25x = 117,353,691,045.56
  5. Step 5: Solve for x
    x = 117,353,691,045.56/220,826.25
  6. Step 6: Final answer
    x = 531,429.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.