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Finding the Third Proportional to 405 and 536.63

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Solution

The third proportional to 405 and 536.63 is: 711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405 : 536.63 = 536.63 : x
  2. Step 2: Convert to fraction form
    405/536.63 = 536.63/x
  3. Step 3: Cross multiply
    405x = 536.63 × 536.63
  4. Step 4: Simplify right side
    405x = 287,966.39
  5. Step 5: Solve for x
    x = 287,966.39/405
  6. Step 6: Final answer
    x = 711.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.