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Finding the Third Proportional to 618.47 and 1,478.04

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Solution

The third proportional to 618.47 and 1,478.04 is: 3,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.47 : 1,478.04 = 1,478.04 : x
  2. Step 2: Convert to fraction form
    618.47/1,478.04 = 1,478.04/x
  3. Step 3: Cross multiply
    618.47x = 1,478.04 × 1,478.04
  4. Step 4: Simplify right side
    618.47x = 2,184,599.47
  5. Step 5: Solve for x
    x = 2,184,599.47/618.47
  6. Step 6: Final answer
    x = 3,532.27

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.