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Finding the Third Proportional to 1,300 and 3,030

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Solution

The third proportional to 1,300 and 3,030 is: 7,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300 : 3,030 = 3,030 : x
  2. Step 2: Convert to fraction form
    1,300/3,030 = 3,030/x
  3. Step 3: Cross multiply
    1,300x = 3,030 × 3,030
  4. Step 4: Simplify right side
    1,300x = 9,180,900
  5. Step 5: Solve for x
    x = 9,180,900/1,300
  6. Step 6: Final answer
    x = 7,062.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.