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Finding the Third Proportional to 3,780.84 and 5,918.06

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Solution

The third proportional to 3,780.84 and 5,918.06 is: 9,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.84 : 5,918.06 = 5,918.06 : x
  2. Step 2: Convert to fraction form
    3,780.84/5,918.06 = 5,918.06/x
  3. Step 3: Cross multiply
    3,780.84x = 5,918.06 × 5,918.06
  4. Step 4: Simplify right side
    3,780.84x = 35,023,463.75
  5. Step 5: Solve for x
    x = 35,023,463.75/3,780.84
  6. Step 6: Final answer
    x = 9,263.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.