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Finding the Third Proportional to 978.33 and 1,467.49

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Solution

The third proportional to 978.33 and 1,467.49 is: 2,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.33 : 1,467.49 = 1,467.49 : x
  2. Step 2: Convert to fraction form
    978.33/1,467.49 = 1,467.49/x
  3. Step 3: Cross multiply
    978.33x = 1,467.49 × 1,467.49
  4. Step 4: Simplify right side
    978.33x = 2,153,533.32
  5. Step 5: Solve for x
    x = 2,153,533.32/978.33
  6. Step 6: Final answer
    x = 2,201.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.