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Finding the Third Proportional to 510.21 and 1,205.03

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Solution

The third proportional to 510.21 and 1,205.03 is: 2,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.21 : 1,205.03 = 1,205.03 : x
  2. Step 2: Convert to fraction form
    510.21/1,205.03 = 1,205.03/x
  3. Step 3: Cross multiply
    510.21x = 1,205.03 × 1,205.03
  4. Step 4: Simplify right side
    510.21x = 1,452,105.02
  5. Step 5: Solve for x
    x = 1,452,105.02/510.21
  6. Step 6: Final answer
    x = 2,846.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.