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Finding the Third Proportional to 405.91 and 645.35

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Solution

The third proportional to 405.91 and 645.35 is: 1,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.91 : 645.35 = 645.35 : x
  2. Step 2: Convert to fraction form
    405.91/645.35 = 645.35/x
  3. Step 3: Cross multiply
    405.91x = 645.35 × 645.35
  4. Step 4: Simplify right side
    405.91x = 416,476.75
  5. Step 5: Solve for x
    x = 416,476.75/405.91
  6. Step 6: Final answer
    x = 1,026.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.