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Finding the Third Proportional to 2,155.78 and 4,009.08

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Solution

The third proportional to 2,155.78 and 4,009.08 is: 7,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.78 : 4,009.08 = 4,009.08 : x
  2. Step 2: Convert to fraction form
    2,155.78/4,009.08 = 4,009.08/x
  3. Step 3: Cross multiply
    2,155.78x = 4,009.08 × 4,009.08
  4. Step 4: Simplify right side
    2,155.78x = 16,072,707.41
  5. Step 5: Solve for x
    x = 16,072,707.41/2,155.78
  6. Step 6: Final answer
    x = 7,455.63

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.