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Finding the Third Proportional to 216.74 and 406.16

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Solution

The third proportional to 216.74 and 406.16 is: 761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.74 : 406.16 = 406.16 : x
  2. Step 2: Convert to fraction form
    216.74/406.16 = 406.16/x
  3. Step 3: Cross multiply
    216.74x = 406.16 × 406.16
  4. Step 4: Simplify right side
    216.74x = 164,966.07
  5. Step 5: Solve for x
    x = 164,966.07/216.74
  6. Step 6: Final answer
    x = 761.13

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.