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Finding the Third Proportional to 219.59 and 342.35

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Solution

The third proportional to 219.59 and 342.35 is: 533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.59 : 342.35 = 342.35 : x
  2. Step 2: Convert to fraction form
    219.59/342.35 = 342.35/x
  3. Step 3: Cross multiply
    219.59x = 342.35 × 342.35
  4. Step 4: Simplify right side
    219.59x = 117,204.59
  5. Step 5: Solve for x
    x = 117,204.59/219.59
  6. Step 6: Final answer
    x = 533.75

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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.