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Finding the Third Proportional to 53,971 and 84,489

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Solution

The third proportional to 53,971 and 84,489 is: 132,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,971 : 84,489 = 84,489 : x
  2. Step 2: Convert to fraction form
    53,971/84,489 = 84,489/x
  3. Step 3: Cross multiply
    53,971x = 84,489 × 84,489
  4. Step 4: Simplify right side
    53,971x = 7,138,391,121
  5. Step 5: Solve for x
    x = 7,138,391,121/53,971
  6. Step 6: Final answer
    x = 132,263.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.