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Finding the Third Proportional to 976.43 and 2,148.40

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Solution

The third proportional to 976.43 and 2,148.40 is: 4,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.43 : 2,148.40 = 2,148.40 : x
  2. Step 2: Convert to fraction form
    976.43/2,148.40 = 2,148.40/x
  3. Step 3: Cross multiply
    976.43x = 2,148.40 × 2,148.40
  4. Step 4: Simplify right side
    976.43x = 4,615,615.85
  5. Step 5: Solve for x
    x = 4,615,615.85/976.43
  6. Step 6: Final answer
    x = 4,727.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.