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Finding the Third Proportional to 261.04 and 622.92

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Solution

The third proportional to 261.04 and 622.92 is: 1,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 622.92 = 622.92 : x
  2. Step 2: Convert to fraction form
    261.04/622.92 = 622.92/x
  3. Step 3: Cross multiply
    261.04x = 622.92 × 622.92
  4. Step 4: Simplify right side
    261.04x = 388,035.31
  5. Step 5: Solve for x
    x = 388,035.31/261.04
  6. Step 6: Final answer
    x = 1,486.53

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.