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Finding the Third Proportional to 57,418 and 84,121

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Solution

The third proportional to 57,418 and 84,121 is: 123,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,418 : 84,121 = 84,121 : x
  2. Step 2: Convert to fraction form
    57,418/84,121 = 84,121/x
  3. Step 3: Cross multiply
    57,418x = 84,121 × 84,121
  4. Step 4: Simplify right side
    57,418x = 7,076,342,641
  5. Step 5: Solve for x
    x = 7,076,342,641/57,418
  6. Step 6: Final answer
    x = 123,242.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.