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Finding the Third Proportional to 42,325 and 93,006

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Solution

The third proportional to 42,325 and 93,006 is: 204,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,325 : 93,006 = 93,006 : x
  2. Step 2: Convert to fraction form
    42,325/93,006 = 93,006/x
  3. Step 3: Cross multiply
    42,325x = 93,006 × 93,006
  4. Step 4: Simplify right side
    42,325x = 8,650,116,036
  5. Step 5: Solve for x
    x = 8,650,116,036/42,325
  6. Step 6: Final answer
    x = 204,373.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.