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Finding the Third Proportional to 144,434 and 216,255

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Solution

The third proportional to 144,434 and 216,255 is: 323,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,434 : 216,255 = 216,255 : x
  2. Step 2: Convert to fraction form
    144,434/216,255 = 216,255/x
  3. Step 3: Cross multiply
    144,434x = 216,255 × 216,255
  4. Step 4: Simplify right side
    144,434x = 46,766,225,025
  5. Step 5: Solve for x
    x = 46,766,225,025/144,434
  6. Step 6: Final answer
    x = 323,789.59

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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.