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Finding the Third Proportional to 513.75 and 1,125.28

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Solution

The third proportional to 513.75 and 1,125.28 is: 2,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.75 : 1,125.28 = 1,125.28 : x
  2. Step 2: Convert to fraction form
    513.75/1,125.28 = 1,125.28/x
  3. Step 3: Cross multiply
    513.75x = 1,125.28 × 1,125.28
  4. Step 4: Simplify right side
    513.75x = 1,266,257.89
  5. Step 5: Solve for x
    x = 1,266,257.89/513.75
  6. Step 6: Final answer
    x = 2,464.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.