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Finding the Third Proportional to 2,138.48 and 4,625.02

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Solution

The third proportional to 2,138.48 and 4,625.02 is: 10,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.48 : 4,625.02 = 4,625.02 : x
  2. Step 2: Convert to fraction form
    2,138.48/4,625.02 = 4,625.02/x
  3. Step 3: Cross multiply
    2,138.48x = 4,625.02 × 4,625.02
  4. Step 4: Simplify right side
    2,138.48x = 21,390,769.53
  5. Step 5: Solve for x
    x = 21,390,769.53/2,138.48
  6. Step 6: Final answer
    x = 10,002.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.