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Finding the Third Proportional to 10,129.50 and 15,858

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Solution

The third proportional to 10,129.50 and 15,858 is: 24,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.50 : 15,858 = 15,858 : x
  2. Step 2: Convert to fraction form
    10,129.50/15,858 = 15,858/x
  3. Step 3: Cross multiply
    10,129.50x = 15,858 × 15,858
  4. Step 4: Simplify right side
    10,129.50x = 251,476,164
  5. Step 5: Solve for x
    x = 251,476,164/10,129.50
  6. Step 6: Final answer
    x = 24,826.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.