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Finding the Third Proportional to 52,864 and 113,980.50

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Solution

The third proportional to 52,864 and 113,980.50 is: 245,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,864 : 113,980.50 = 113,980.50 : x
  2. Step 2: Convert to fraction form
    52,864/113,980.50 = 113,980.50/x
  3. Step 3: Cross multiply
    52,864x = 113,980.50 × 113,980.50
  4. Step 4: Simplify right side
    52,864x = 12,991,554,380.25
  5. Step 5: Solve for x
    x = 12,991,554,380.25/52,864
  6. Step 6: Final answer
    x = 245,754.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.