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Finding the Third Proportional to 3,039 and 3,946.50

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Solution

The third proportional to 3,039 and 3,946.50 is: 5,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039 : 3,946.50 = 3,946.50 : x
  2. Step 2: Convert to fraction form
    3,039/3,946.50 = 3,946.50/x
  3. Step 3: Cross multiply
    3,039x = 3,946.50 × 3,946.50
  4. Step 4: Simplify right side
    3,039x = 15,574,862.25
  5. Step 5: Solve for x
    x = 15,574,862.25/3,039
  6. Step 6: Final answer
    x = 5,125.00

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.