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Finding the Third Proportional to 389.31 and 595.22

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Solution

The third proportional to 389.31 and 595.22 is: 910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.31 : 595.22 = 595.22 : x
  2. Step 2: Convert to fraction form
    389.31/595.22 = 595.22/x
  3. Step 3: Cross multiply
    389.31x = 595.22 × 595.22
  4. Step 4: Simplify right side
    389.31x = 354,285.36
  5. Step 5: Solve for x
    x = 354,285.36/389.31
  6. Step 6: Final answer
    x = 910.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.