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Finding the Third Proportional to 620.79 and 1,339.02

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Solution

The third proportional to 620.79 and 1,339.02 is: 2,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.79 : 1,339.02 = 1,339.02 : x
  2. Step 2: Convert to fraction form
    620.79/1,339.02 = 1,339.02/x
  3. Step 3: Cross multiply
    620.79x = 1,339.02 × 1,339.02
  4. Step 4: Simplify right side
    620.79x = 1,792,978.21
  5. Step 5: Solve for x
    x = 1,792,978.21/620.79
  6. Step 6: Final answer
    x = 2,888.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.