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Finding the Third Proportional to 261.84 and 680.48

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Solution

The third proportional to 261.84 and 680.48 is: 1,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.84 : 680.48 = 680.48 : x
  2. Step 2: Convert to fraction form
    261.84/680.48 = 680.48/x
  3. Step 3: Cross multiply
    261.84x = 680.48 × 680.48
  4. Step 4: Simplify right side
    261.84x = 463,058.98
  5. Step 5: Solve for x
    x = 463,058.98/261.84
  6. Step 6: Final answer
    x = 1,768.46

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.