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Finding the Third Proportional to 981.56 and 2,102.06

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Solution

The third proportional to 981.56 and 2,102.06 is: 4,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.56 : 2,102.06 = 2,102.06 : x
  2. Step 2: Convert to fraction form
    981.56/2,102.06 = 2,102.06/x
  3. Step 3: Cross multiply
    981.56x = 2,102.06 × 2,102.06
  4. Step 4: Simplify right side
    981.56x = 4,418,666.75
  5. Step 5: Solve for x
    x = 4,418,666.75/981.56
  6. Step 6: Final answer
    x = 4,501.67

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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.