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Finding the Third Proportional to 6,807.80 and 10,202.20

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Solution

The third proportional to 6,807.80 and 10,202.20 is: 15,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.80 : 10,202.20 = 10,202.20 : x
  2. Step 2: Convert to fraction form
    6,807.80/10,202.20 = 10,202.20/x
  3. Step 3: Cross multiply
    6,807.80x = 10,202.20 × 10,202.20
  4. Step 4: Simplify right side
    6,807.80x = 104,084,948.60
  5. Step 5: Solve for x
    x = 104,084,948.60/6,807.80
  6. Step 6: Final answer
    x = 15,289.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.