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Finding the Third Proportional to 54,380 and 84,050

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Solution

The third proportional to 54,380 and 84,050 is: 129,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,380 : 84,050 = 84,050 : x
  2. Step 2: Convert to fraction form
    54,380/84,050 = 84,050/x
  3. Step 3: Cross multiply
    54,380x = 84,050 × 84,050
  4. Step 4: Simplify right side
    54,380x = 7,064,402,500
  5. Step 5: Solve for x
    x = 7,064,402,500/54,380
  6. Step 6: Final answer
    x = 129,908.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.