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Finding the Third Proportional to 1,369 and 2,968.75

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Solution

The third proportional to 1,369 and 2,968.75 is: 6,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369 : 2,968.75 = 2,968.75 : x
  2. Step 2: Convert to fraction form
    1,369/2,968.75 = 2,968.75/x
  3. Step 3: Cross multiply
    1,369x = 2,968.75 × 2,968.75
  4. Step 4: Simplify right side
    1,369x = 8,813,476.56
  5. Step 5: Solve for x
    x = 8,813,476.56/1,369
  6. Step 6: Final answer
    x = 6,437.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.