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Finding the Third Proportional to 123.40 and 262.93

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Solution

The third proportional to 123.40 and 262.93 is: 560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.40 : 262.93 = 262.93 : x
  2. Step 2: Convert to fraction form
    123.40/262.93 = 262.93/x
  3. Step 3: Cross multiply
    123.40x = 262.93 × 262.93
  4. Step 4: Simplify right side
    123.40x = 69,134.07
  5. Step 5: Solve for x
    x = 69,134.07/123.40
  6. Step 6: Final answer
    x = 560.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.