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Finding the Third Proportional to 5,024.63 and 10,914.19

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Solution

The third proportional to 5,024.63 and 10,914.19 is: 23,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.63 : 10,914.19 = 10,914.19 : x
  2. Step 2: Convert to fraction form
    5,024.63/10,914.19 = 10,914.19/x
  3. Step 3: Cross multiply
    5,024.63x = 10,914.19 × 10,914.19
  4. Step 4: Simplify right side
    5,024.63x = 119,119,488.79
  5. Step 5: Solve for x
    x = 119,119,488.79/5,024.63
  6. Step 6: Final answer
    x = 23,707.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.