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Finding the Third Proportional to 88,907 and 193,791

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Solution

The third proportional to 88,907 and 193,791 is: 422,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,907 : 193,791 = 193,791 : x
  2. Step 2: Convert to fraction form
    88,907/193,791 = 193,791/x
  3. Step 3: Cross multiply
    88,907x = 193,791 × 193,791
  4. Step 4: Simplify right side
    88,907x = 37,554,951,681
  5. Step 5: Solve for x
    x = 37,554,951,681/88,907
  6. Step 6: Final answer
    x = 422,407.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.