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Finding the Third Proportional to 1,816.80 and 4,254.40

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Solution

The third proportional to 1,816.80 and 4,254.40 is: 9,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.80 : 4,254.40 = 4,254.40 : x
  2. Step 2: Convert to fraction form
    1,816.80/4,254.40 = 4,254.40/x
  3. Step 3: Cross multiply
    1,816.80x = 4,254.40 × 4,254.40
  4. Step 4: Simplify right side
    1,816.80x = 18,099,906.07
  5. Step 5: Solve for x
    x = 18,099,906.07/1,816.80
  6. Step 6: Final answer
    x = 9,962.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.