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Finding the Third Proportional to 144,450 and 215,467

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Solution

The third proportional to 144,450 and 215,467 is: 321,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,450 : 215,467 = 215,467 : x
  2. Step 2: Convert to fraction form
    144,450/215,467 = 215,467/x
  3. Step 3: Cross multiply
    144,450x = 215,467 × 215,467
  4. Step 4: Simplify right side
    144,450x = 46,426,028,089
  5. Step 5: Solve for x
    x = 46,426,028,089/144,450
  6. Step 6: Final answer
    x = 321,398.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.