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Finding the Third Proportional to 261.94 and 420.84

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Solution

The third proportional to 261.94 and 420.84 is: 676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.94 : 420.84 = 420.84 : x
  2. Step 2: Convert to fraction form
    261.94/420.84 = 420.84/x
  3. Step 3: Cross multiply
    261.94x = 420.84 × 420.84
  4. Step 4: Simplify right side
    261.94x = 177,109.46
  5. Step 5: Solve for x
    x = 177,109.46/261.94
  6. Step 6: Final answer
    x = 676.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.