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Finding the Third Proportional to 216.40 and 344.02

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Solution

The third proportional to 216.40 and 344.02 is: 546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.40 : 344.02 = 344.02 : x
  2. Step 2: Convert to fraction form
    216.40/344.02 = 344.02/x
  3. Step 3: Cross multiply
    216.40x = 344.02 × 344.02
  4. Step 4: Simplify right side
    216.40x = 118,346.75
  5. Step 5: Solve for x
    x = 118,346.75/216.40
  6. Step 6: Final answer
    x = 546.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.