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Finding the Third Proportional to 405.42 and 599.55

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Solution

The third proportional to 405.42 and 599.55 is: 886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 599.55 = 599.55 : x
  2. Step 2: Convert to fraction form
    405.42/599.55 = 599.55/x
  3. Step 3: Cross multiply
    405.42x = 599.55 × 599.55
  4. Step 4: Simplify right side
    405.42x = 359,465.82
  5. Step 5: Solve for x
    x = 359,465.82/405.42
  6. Step 6: Final answer
    x = 886.65

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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.