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Finding the Third Proportional to 426.09 and 977.48

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Solution

The third proportional to 426.09 and 977.48 is: 2,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.09 : 977.48 = 977.48 : x
  2. Step 2: Convert to fraction form
    426.09/977.48 = 977.48/x
  3. Step 3: Cross multiply
    426.09x = 977.48 × 977.48
  4. Step 4: Simplify right side
    426.09x = 955,475.70
  5. Step 5: Solve for x
    x = 955,475.70/426.09
  6. Step 6: Final answer
    x = 2,242.41

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.