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Finding the Third Proportional to 51,808.50 and 115,357.50

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Solution

The third proportional to 51,808.50 and 115,357.50 is: 256,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.50 : 115,357.50 = 115,357.50 : x
  2. Step 2: Convert to fraction form
    51,808.50/115,357.50 = 115,357.50/x
  3. Step 3: Cross multiply
    51,808.50x = 115,357.50 × 115,357.50
  4. Step 4: Simplify right side
    51,808.50x = 13,307,352,806.25
  5. Step 5: Solve for x
    x = 13,307,352,806.25/51,808.50
  6. Step 6: Final answer
    x = 256,856.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.