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Finding the Third Proportional to 405.98 and 600.12

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Solution

The third proportional to 405.98 and 600.12 is: 887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.98 : 600.12 = 600.12 : x
  2. Step 2: Convert to fraction form
    405.98/600.12 = 600.12/x
  3. Step 3: Cross multiply
    405.98x = 600.12 × 600.12
  4. Step 4: Simplify right side
    405.98x = 360,140.64
  5. Step 5: Solve for x
    x = 360,140.64/405.98
  6. Step 6: Final answer
    x = 887.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.