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Finding the Third Proportional to 144,649.50 and 216,831

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Solution

The third proportional to 144,649.50 and 216,831 is: 325,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,649.50 : 216,831 = 216,831 : x
  2. Step 2: Convert to fraction form
    144,649.50/216,831 = 216,831/x
  3. Step 3: Cross multiply
    144,649.50x = 216,831 × 216,831
  4. Step 4: Simplify right side
    144,649.50x = 47,015,682,561
  5. Step 5: Solve for x
    x = 47,015,682,561/144,649.50
  6. Step 6: Final answer
    x = 325,031.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.