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Finding the Third Proportional to 405.38 and 564.94

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Solution

The third proportional to 405.38 and 564.94 is: 787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.38 : 564.94 = 564.94 : x
  2. Step 2: Convert to fraction form
    405.38/564.94 = 564.94/x
  3. Step 3: Cross multiply
    405.38x = 564.94 × 564.94
  4. Step 4: Simplify right side
    405.38x = 319,154.38
  5. Step 5: Solve for x
    x = 319,154.38/405.38
  6. Step 6: Final answer
    x = 787.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.