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Finding the Third Proportional to 2,420.81 and 4,972.69

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Solution

The third proportional to 2,420.81 and 4,972.69 is: 10,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.81 : 4,972.69 = 4,972.69 : x
  2. Step 2: Convert to fraction form
    2,420.81/4,972.69 = 4,972.69/x
  3. Step 3: Cross multiply
    2,420.81x = 4,972.69 × 4,972.69
  4. Step 4: Simplify right side
    2,420.81x = 24,727,620.97
  5. Step 5: Solve for x
    x = 24,727,620.97/2,420.81
  6. Step 6: Final answer
    x = 10,214.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.