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Finding the Third Proportional to 2,980.55 and 4,420.20

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Solution

The third proportional to 2,980.55 and 4,420.20 is: 6,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.55 : 4,420.20 = 4,420.20 : x
  2. Step 2: Convert to fraction form
    2,980.55/4,420.20 = 4,420.20/x
  3. Step 3: Cross multiply
    2,980.55x = 4,420.20 × 4,420.20
  4. Step 4: Simplify right side
    2,980.55x = 19,538,126.60
  5. Step 5: Solve for x
    x = 19,538,126.60/2,980.55
  6. Step 6: Final answer
    x = 6,555.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.