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Finding the Third Proportional to 426.19 and 1,029.75

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Solution

The third proportional to 426.19 and 1,029.75 is: 2,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.19 : 1,029.75 = 1,029.75 : x
  2. Step 2: Convert to fraction form
    426.19/1,029.75 = 1,029.75/x
  3. Step 3: Cross multiply
    426.19x = 1,029.75 × 1,029.75
  4. Step 4: Simplify right side
    426.19x = 1,060,385.06
  5. Step 5: Solve for x
    x = 1,060,385.06/426.19
  6. Step 6: Final answer
    x = 2,488.07

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.