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Finding the Third Proportional to 261.98 and 407.21

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Solution

The third proportional to 261.98 and 407.21 is: 632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.98 : 407.21 = 407.21 : x
  2. Step 2: Convert to fraction form
    261.98/407.21 = 407.21/x
  3. Step 3: Cross multiply
    261.98x = 407.21 × 407.21
  4. Step 4: Simplify right side
    261.98x = 165,823.93
  5. Step 5: Solve for x
    x = 165,823.93/261.98
  6. Step 6: Final answer
    x = 632.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.