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Finding the Third Proportional to 145,668 and 219,836

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Solution

The third proportional to 145,668 and 219,836 is: 331,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,668 : 219,836 = 219,836 : x
  2. Step 2: Convert to fraction form
    145,668/219,836 = 219,836/x
  3. Step 3: Cross multiply
    145,668x = 219,836 × 219,836
  4. Step 4: Simplify right side
    145,668x = 48,327,866,896
  5. Step 5: Solve for x
    x = 48,327,866,896/145,668
  6. Step 6: Final answer
    x = 331,767.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.