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Finding the Third Proportional to 976.55 and 2,109.28

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Solution

The third proportional to 976.55 and 2,109.28 is: 4,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.55 : 2,109.28 = 2,109.28 : x
  2. Step 2: Convert to fraction form
    976.55/2,109.28 = 2,109.28/x
  3. Step 3: Cross multiply
    976.55x = 2,109.28 × 2,109.28
  4. Step 4: Simplify right side
    976.55x = 4,449,057.93
  5. Step 5: Solve for x
    x = 4,449,057.93/976.55
  6. Step 6: Final answer
    x = 4,555.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.