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Finding the Third Proportional to 1,277.65 and 2,102.84

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Solution

The third proportional to 1,277.65 and 2,102.84 is: 3,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.65 : 2,102.84 = 2,102.84 : x
  2. Step 2: Convert to fraction form
    1,277.65/2,102.84 = 2,102.84/x
  3. Step 3: Cross multiply
    1,277.65x = 2,102.84 × 2,102.84
  4. Step 4: Simplify right side
    1,277.65x = 4,421,918.98
  5. Step 5: Solve for x
    x = 4,421,918.98/1,277.65
  6. Step 6: Final answer
    x = 3,460.98

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.