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Finding the Third Proportional to 54,362 and 84,018

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Solution

The third proportional to 54,362 and 84,018 is: 129,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,362 : 84,018 = 84,018 : x
  2. Step 2: Convert to fraction form
    54,362/84,018 = 84,018/x
  3. Step 3: Cross multiply
    54,362x = 84,018 × 84,018
  4. Step 4: Simplify right side
    54,362x = 7,059,024,324
  5. Step 5: Solve for x
    x = 7,059,024,324/54,362
  6. Step 6: Final answer
    x = 129,852.18

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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.