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Finding the Third Proportional to 216,135 and 347,267.25

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Solution

The third proportional to 216,135 and 347,267.25 is: 557,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,135 : 347,267.25 = 347,267.25 : x
  2. Step 2: Convert to fraction form
    216,135/347,267.25 = 347,267.25/x
  3. Step 3: Cross multiply
    216,135x = 347,267.25 × 347,267.25
  4. Step 4: Simplify right side
    216,135x = 120,594,542,922.56
  5. Step 5: Solve for x
    x = 120,594,542,922.56/216,135
  6. Step 6: Final answer
    x = 557,959.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.