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Finding the Third Proportional to 751.46 and 1,648.79

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Solution

The third proportional to 751.46 and 1,648.79 is: 3,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.46 : 1,648.79 = 1,648.79 : x
  2. Step 2: Convert to fraction form
    751.46/1,648.79 = 1,648.79/x
  3. Step 3: Cross multiply
    751.46x = 1,648.79 × 1,648.79
  4. Step 4: Simplify right side
    751.46x = 2,718,518.25
  5. Step 5: Solve for x
    x = 2,718,518.25/751.46
  6. Step 6: Final answer
    x = 3,617.63

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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.