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Finding the Third Proportional to 2,455 and 4,785.50

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Solution

The third proportional to 2,455 and 4,785.50 is: 9,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455 : 4,785.50 = 4,785.50 : x
  2. Step 2: Convert to fraction form
    2,455/4,785.50 = 4,785.50/x
  3. Step 3: Cross multiply
    2,455x = 4,785.50 × 4,785.50
  4. Step 4: Simplify right side
    2,455x = 22,901,010.25
  5. Step 5: Solve for x
    x = 22,901,010.25/2,455
  6. Step 6: Final answer
    x = 9,328.31

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.