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Finding the Third Proportional to 10,257.75 and 15,459.75

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Solution

The third proportional to 10,257.75 and 15,459.75 is: 23,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.75 : 15,459.75 = 15,459.75 : x
  2. Step 2: Convert to fraction form
    10,257.75/15,459.75 = 15,459.75/x
  3. Step 3: Cross multiply
    10,257.75x = 15,459.75 × 15,459.75
  4. Step 4: Simplify right side
    10,257.75x = 239,003,870.06
  5. Step 5: Solve for x
    x = 239,003,870.06/10,257.75
  6. Step 6: Final answer
    x = 23,299.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.