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Finding the Third Proportional to 978.19 and 2,138.06

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Solution

The third proportional to 978.19 and 2,138.06 is: 4,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.19 : 2,138.06 = 2,138.06 : x
  2. Step 2: Convert to fraction form
    978.19/2,138.06 = 2,138.06/x
  3. Step 3: Cross multiply
    978.19x = 2,138.06 × 2,138.06
  4. Step 4: Simplify right side
    978.19x = 4,571,311.25
  5. Step 5: Solve for x
    x = 4,571,311.25/978.19
  6. Step 6: Final answer
    x = 4,673.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.