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Finding the Third Proportional to 42,910 and 94,546

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Solution

The third proportional to 42,910 and 94,546 is: 208,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,910 : 94,546 = 94,546 : x
  2. Step 2: Convert to fraction form
    42,910/94,546 = 94,546/x
  3. Step 3: Cross multiply
    42,910x = 94,546 × 94,546
  4. Step 4: Simplify right side
    42,910x = 8,938,946,116
  5. Step 5: Solve for x
    x = 8,938,946,116/42,910
  6. Step 6: Final answer
    x = 208,318.48

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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.