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Finding the Third Proportional to 305 and 456.50

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Solution

The third proportional to 305 and 456.50 is: 683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305 : 456.50 = 456.50 : x
  2. Step 2: Convert to fraction form
    305/456.50 = 456.50/x
  3. Step 3: Cross multiply
    305x = 456.50 × 456.50
  4. Step 4: Simplify right side
    305x = 208,392.25
  5. Step 5: Solve for x
    x = 208,392.25/305
  6. Step 6: Final answer
    x = 683.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.