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Finding the Third Proportional to 1,492.80 and 3,289.36

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Solution

The third proportional to 1,492.80 and 3,289.36 is: 7,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.80 : 3,289.36 = 3,289.36 : x
  2. Step 2: Convert to fraction form
    1,492.80/3,289.36 = 3,289.36/x
  3. Step 3: Cross multiply
    1,492.80x = 3,289.36 × 3,289.36
  4. Step 4: Simplify right side
    1,492.80x = 10,819,885.10
  5. Step 5: Solve for x
    x = 10,819,885.10/1,492.80
  6. Step 6: Final answer
    x = 7,248.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.