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Finding the Third Proportional to 4,782.16 and 10,143.35

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Solution

The third proportional to 4,782.16 and 10,143.35 is: 21,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.16 : 10,143.35 = 10,143.35 : x
  2. Step 2: Convert to fraction form
    4,782.16/10,143.35 = 10,143.35/x
  3. Step 3: Cross multiply
    4,782.16x = 10,143.35 × 10,143.35
  4. Step 4: Simplify right side
    4,782.16x = 102,887,580.92
  5. Step 5: Solve for x
    x = 102,887,580.92/4,782.16
  6. Step 6: Final answer
    x = 21,514.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.