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Finding the Third Proportional to 221,722.31 and 342,424.97

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Solution

The third proportional to 221,722.31 and 342,424.97 is: 528,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,722.31 : 342,424.97 = 342,424.97 : x
  2. Step 2: Convert to fraction form
    221,722.31/342,424.97 = 342,424.97/x
  3. Step 3: Cross multiply
    221,722.31x = 342,424.97 × 342,424.97
  4. Step 4: Simplify right side
    221,722.31x = 117,254,859,223.44
  5. Step 5: Solve for x
    x = 117,254,859,223.44/221,722.31
  6. Step 6: Final answer
    x = 528,836.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.