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Finding the Third Proportional to 480.30 and 1,122.29

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Solution

The third proportional to 480.30 and 1,122.29 is: 2,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.30 : 1,122.29 = 1,122.29 : x
  2. Step 2: Convert to fraction form
    480.30/1,122.29 = 1,122.29/x
  3. Step 3: Cross multiply
    480.30x = 1,122.29 × 1,122.29
  4. Step 4: Simplify right side
    480.30x = 1,259,541.51
  5. Step 5: Solve for x
    x = 1,259,541.51/480.30
  6. Step 6: Final answer
    x = 2,622.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.