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Finding the Third Proportional to 1,277.65 and 2,059.17

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Solution

The third proportional to 1,277.65 and 2,059.17 is: 3,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.65 : 2,059.17 = 2,059.17 : x
  2. Step 2: Convert to fraction form
    1,277.65/2,059.17 = 2,059.17/x
  3. Step 3: Cross multiply
    1,277.65x = 2,059.17 × 2,059.17
  4. Step 4: Simplify right side
    1,277.65x = 4,240,188.81
  5. Step 5: Solve for x
    x = 4,240,188.81/1,277.65
  6. Step 6: Final answer
    x = 3,318.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.