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Finding the Third Proportional to 2,046 and 3,150.50

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Solution

The third proportional to 2,046 and 3,150.50 is: 4,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 3,150.50 = 3,150.50 : x
  2. Step 2: Convert to fraction form
    2,046/3,150.50 = 3,150.50/x
  3. Step 3: Cross multiply
    2,046x = 3,150.50 × 3,150.50
  4. Step 4: Simplify right side
    2,046x = 9,925,650.25
  5. Step 5: Solve for x
    x = 9,925,650.25/2,046
  6. Step 6: Final answer
    x = 4,851.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.