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Finding the Third Proportional to 216,078 and 449,484

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Solution

The third proportional to 216,078 and 449,484 is: 935,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,078 : 449,484 = 449,484 : x
  2. Step 2: Convert to fraction form
    216,078/449,484 = 449,484/x
  3. Step 3: Cross multiply
    216,078x = 449,484 × 449,484
  4. Step 4: Simplify right side
    216,078x = 202,035,866,256
  5. Step 5: Solve for x
    x = 202,035,866,256/216,078
  6. Step 6: Final answer
    x = 935,013.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.