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Finding the Third Proportional to 557.02 and 1,212.33

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Solution

The third proportional to 557.02 and 1,212.33 is: 2,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.02 : 1,212.33 = 1,212.33 : x
  2. Step 2: Convert to fraction form
    557.02/1,212.33 = 1,212.33/x
  3. Step 3: Cross multiply
    557.02x = 1,212.33 × 1,212.33
  4. Step 4: Simplify right side
    557.02x = 1,469,739.48
  5. Step 5: Solve for x
    x = 1,469,739.48/557.02
  6. Step 6: Final answer
    x = 2,638.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.