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Finding the Third Proportional to 2,974.85 and 4,370.20

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Solution

The third proportional to 2,974.85 and 4,370.20 is: 6,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.85 : 4,370.20 = 4,370.20 : x
  2. Step 2: Convert to fraction form
    2,974.85/4,370.20 = 4,370.20/x
  3. Step 3: Cross multiply
    2,974.85x = 4,370.20 × 4,370.20
  4. Step 4: Simplify right side
    2,974.85x = 19,098,675.35
  5. Step 5: Solve for x
    x = 19,098,675.35/2,974.85
  6. Step 6: Final answer
    x = 6,420.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.