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Finding the Third Proportional to 52,579.13 and 113,078.53

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Solution

The third proportional to 52,579.13 and 113,078.53 is: 243,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,579.13 : 113,078.53 = 113,078.53 : x
  2. Step 2: Convert to fraction form
    52,579.13/113,078.53 = 113,078.53/x
  3. Step 3: Cross multiply
    52,579.13x = 113,078.53 × 113,078.53
  4. Step 4: Simplify right side
    52,579.13x = 12,786,754,229.66
  5. Step 5: Solve for x
    x = 12,786,754,229.66/52,579.13
  6. Step 6: Final answer
    x = 243,190.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.