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Finding the Third Proportional to 208,089 and 442,098

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Solution

The third proportional to 208,089 and 442,098 is: 939,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,089 : 442,098 = 442,098 : x
  2. Step 2: Convert to fraction form
    208,089/442,098 = 442,098/x
  3. Step 3: Cross multiply
    208,089x = 442,098 × 442,098
  4. Step 4: Simplify right side
    208,089x = 195,450,641,604
  5. Step 5: Solve for x
    x = 195,450,641,604/208,089
  6. Step 6: Final answer
    x = 939,264.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.