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Finding the Third Proportional to 208,098 and 449,028

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Solution

The third proportional to 208,098 and 449,028 is: 968,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098 : 449,028 = 449,028 : x
  2. Step 2: Convert to fraction form
    208,098/449,028 = 449,028/x
  3. Step 3: Cross multiply
    208,098x = 449,028 × 449,028
  4. Step 4: Simplify right side
    208,098x = 201,626,144,784
  5. Step 5: Solve for x
    x = 201,626,144,784/208,098
  6. Step 6: Final answer
    x = 968,899.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.