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Finding the Third Proportional to 6,455.78 and 9,975.60

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Solution

The third proportional to 6,455.78 and 9,975.60 is: 15,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.78 : 9,975.60 = 9,975.60 : x
  2. Step 2: Convert to fraction form
    6,455.78/9,975.60 = 9,975.60/x
  3. Step 3: Cross multiply
    6,455.78x = 9,975.60 × 9,975.60
  4. Step 4: Simplify right side
    6,455.78x = 99,512,620.29
  5. Step 5: Solve for x
    x = 99,512,620.29/6,455.78
  6. Step 6: Final answer
    x = 15,414.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.