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Finding the Third Proportional to 262.69 and 411.19

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Solution

The third proportional to 262.69 and 411.19 is: 643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.69 : 411.19 = 411.19 : x
  2. Step 2: Convert to fraction form
    262.69/411.19 = 411.19/x
  3. Step 3: Cross multiply
    262.69x = 411.19 × 411.19
  4. Step 4: Simplify right side
    262.69x = 169,075.16
  5. Step 5: Solve for x
    x = 169,075.16/262.69
  6. Step 6: Final answer
    x = 643.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.