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Finding the Third Proportional to 647.44 and 999.09

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Solution

The third proportional to 647.44 and 999.09 is: 1,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.44 : 999.09 = 999.09 : x
  2. Step 2: Convert to fraction form
    647.44/999.09 = 999.09/x
  3. Step 3: Cross multiply
    647.44x = 999.09 × 999.09
  4. Step 4: Simplify right side
    647.44x = 998,188.32
  5. Step 5: Solve for x
    x = 998,188.32/647.44
  6. Step 6: Final answer
    x = 1,541.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.