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Finding the Third Proportional to 216.42 and 514.48

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Solution

The third proportional to 216.42 and 514.48 is: 1,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 514.48 = 514.48 : x
  2. Step 2: Convert to fraction form
    216.42/514.48 = 514.48/x
  3. Step 3: Cross multiply
    216.42x = 514.48 × 514.48
  4. Step 4: Simplify right side
    216.42x = 264,686.13
  5. Step 5: Solve for x
    x = 264,686.13/216.42
  6. Step 6: Final answer
    x = 1,223.01

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.