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Finding the Third Proportional to 520.03 and 1,257.05

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Solution

The third proportional to 520.03 and 1,257.05 is: 3,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.03 : 1,257.05 = 1,257.05 : x
  2. Step 2: Convert to fraction form
    520.03/1,257.05 = 1,257.05/x
  3. Step 3: Cross multiply
    520.03x = 1,257.05 × 1,257.05
  4. Step 4: Simplify right side
    520.03x = 1,580,166.85
  5. Step 5: Solve for x
    x = 1,580,166.85/520.03
  6. Step 6: Final answer
    x = 3,038.60

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.