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Finding the Third Proportional to 389.88 and 606.69

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Solution

The third proportional to 389.88 and 606.69 is: 944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.88 : 606.69 = 606.69 : x
  2. Step 2: Convert to fraction form
    389.88/606.69 = 606.69/x
  3. Step 3: Cross multiply
    389.88x = 606.69 × 606.69
  4. Step 4: Simplify right side
    389.88x = 368,069.72
  5. Step 5: Solve for x
    x = 368,069.72/389.88
  6. Step 6: Final answer
    x = 944.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.