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Finding the Third Proportional to 42,038 and 87,971

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Solution

The third proportional to 42,038 and 87,971 is: 184,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,038 : 87,971 = 87,971 : x
  2. Step 2: Convert to fraction form
    42,038/87,971 = 87,971/x
  3. Step 3: Cross multiply
    42,038x = 87,971 × 87,971
  4. Step 4: Simplify right side
    42,038x = 7,738,896,841
  5. Step 5: Solve for x
    x = 7,738,896,841/42,038
  6. Step 6: Final answer
    x = 184,092.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.