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Finding the Third Proportional to 928.50 and 1,415.50

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Solution

The third proportional to 928.50 and 1,415.50 is: 2,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.50 : 1,415.50 = 1,415.50 : x
  2. Step 2: Convert to fraction form
    928.50/1,415.50 = 1,415.50/x
  3. Step 3: Cross multiply
    928.50x = 1,415.50 × 1,415.50
  4. Step 4: Simplify right side
    928.50x = 2,003,640.25
  5. Step 5: Solve for x
    x = 2,003,640.25/928.50
  6. Step 6: Final answer
    x = 2,157.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.