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Finding the Third Proportional to 312.75 and 805.50

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Solution

The third proportional to 312.75 and 805.50 is: 2,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 805.50 = 805.50 : x
  2. Step 2: Convert to fraction form
    312.75/805.50 = 805.50/x
  3. Step 3: Cross multiply
    312.75x = 805.50 × 805.50
  4. Step 4: Simplify right side
    312.75x = 648,830.25
  5. Step 5: Solve for x
    x = 648,830.25/312.75
  6. Step 6: Final answer
    x = 2,074.60

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.