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Finding the Third Proportional to 2,938.50 and 6,300.75

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Solution

The third proportional to 2,938.50 and 6,300.75 is: 13,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.50 : 6,300.75 = 6,300.75 : x
  2. Step 2: Convert to fraction form
    2,938.50/6,300.75 = 6,300.75/x
  3. Step 3: Cross multiply
    2,938.50x = 6,300.75 × 6,300.75
  4. Step 4: Simplify right side
    2,938.50x = 39,699,450.56
  5. Step 5: Solve for x
    x = 39,699,450.56/2,938.50
  6. Step 6: Final answer
    x = 13,510.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.