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Finding the Third Proportional to 384.38 and 577.03

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Solution

The third proportional to 384.38 and 577.03 is: 866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.38 : 577.03 = 577.03 : x
  2. Step 2: Convert to fraction form
    384.38/577.03 = 577.03/x
  3. Step 3: Cross multiply
    384.38x = 577.03 × 577.03
  4. Step 4: Simplify right side
    384.38x = 332,965.06
  5. Step 5: Solve for x
    x = 332,965.06/384.38
  6. Step 6: Final answer
    x = 866.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.