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Finding the Third Proportional to 1,628.34 and 3,840.05

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Solution

The third proportional to 1,628.34 and 3,840.05 is: 9,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.34 : 3,840.05 = 3,840.05 : x
  2. Step 2: Convert to fraction form
    1,628.34/3,840.05 = 3,840.05/x
  3. Step 3: Cross multiply
    1,628.34x = 3,840.05 × 3,840.05
  4. Step 4: Simplify right side
    1,628.34x = 14,745,960.00
  5. Step 5: Solve for x
    x = 14,745,960.00/1,628.34
  6. Step 6: Final answer
    x = 9,055.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.