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Finding the Third Proportional to 3,807.42 and 8,813.60

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Solution

The third proportional to 3,807.42 and 8,813.60 is: 20,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.42 : 8,813.60 = 8,813.60 : x
  2. Step 2: Convert to fraction form
    3,807.42/8,813.60 = 8,813.60/x
  3. Step 3: Cross multiply
    3,807.42x = 8,813.60 × 8,813.60
  4. Step 4: Simplify right side
    3,807.42x = 77,679,572.50
  5. Step 5: Solve for x
    x = 77,679,572.50/3,807.42
  6. Step 6: Final answer
    x = 20,402.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.