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Finding the Third Proportional to 301.88 and 780.94

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Solution

The third proportional to 301.88 and 780.94 is: 2,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.88 : 780.94 = 780.94 : x
  2. Step 2: Convert to fraction form
    301.88/780.94 = 780.94/x
  3. Step 3: Cross multiply
    301.88x = 780.94 × 780.94
  4. Step 4: Simplify right side
    301.88x = 609,863.38
  5. Step 5: Solve for x
    x = 609,863.38/301.88
  6. Step 6: Final answer
    x = 2,020.25

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.