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Finding the Third Proportional to 978.33 and 2,037.66

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Solution

The third proportional to 978.33 and 2,037.66 is: 4,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.33 : 2,037.66 = 2,037.66 : x
  2. Step 2: Convert to fraction form
    978.33/2,037.66 = 2,037.66/x
  3. Step 3: Cross multiply
    978.33x = 2,037.66 × 2,037.66
  4. Step 4: Simplify right side
    978.33x = 4,152,042.99
  5. Step 5: Solve for x
    x = 4,152,042.99/978.33
  6. Step 6: Final answer
    x = 4,244.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.