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Finding the Third Proportional to 54,370 and 84,029

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Solution

The third proportional to 54,370 and 84,029 is: 129,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,370 : 84,029 = 84,029 : x
  2. Step 2: Convert to fraction form
    54,370/84,029 = 84,029/x
  3. Step 3: Cross multiply
    54,370x = 84,029 × 84,029
  4. Step 4: Simplify right side
    54,370x = 7,060,872,841
  5. Step 5: Solve for x
    x = 7,060,872,841/54,370
  6. Step 6: Final answer
    x = 129,867.07

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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.