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Finding the Third Proportional to 216,930 and 444,432

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Solution

The third proportional to 216,930 and 444,432 is: 910,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,930 : 444,432 = 444,432 : x
  2. Step 2: Convert to fraction form
    216,930/444,432 = 444,432/x
  3. Step 3: Cross multiply
    216,930x = 444,432 × 444,432
  4. Step 4: Simplify right side
    216,930x = 197,519,802,624
  5. Step 5: Solve for x
    x = 197,519,802,624/216,930
  6. Step 6: Final answer
    x = 910,523.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.