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Finding the Third Proportional to 261.44 and 407.06

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Solution

The third proportional to 261.44 and 407.06 is: 633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.44 : 407.06 = 407.06 : x
  2. Step 2: Convert to fraction form
    261.44/407.06 = 407.06/x
  3. Step 3: Cross multiply
    261.44x = 407.06 × 407.06
  4. Step 4: Simplify right side
    261.44x = 165,699.88
  5. Step 5: Solve for x
    x = 165,699.88/261.44
  6. Step 6: Final answer
    x = 633.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.