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Finding the Third Proportional to 2,155 and 4,355

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Solution

The third proportional to 2,155 and 4,355 is: 8,800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155 : 4,355 = 4,355 : x
  2. Step 2: Convert to fraction form
    2,155/4,355 = 4,355/x
  3. Step 3: Cross multiply
    2,155x = 4,355 × 4,355
  4. Step 4: Simplify right side
    2,155x = 18,966,025
  5. Step 5: Solve for x
    x = 18,966,025/2,155
  6. Step 6: Final answer
    x = 8,800.94

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.