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Finding the Third Proportional to 2,485.65 and 2,918.14

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Solution

The third proportional to 2,485.65 and 2,918.14 is: 3,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.65 : 2,918.14 = 2,918.14 : x
  2. Step 2: Convert to fraction form
    2,485.65/2,918.14 = 2,918.14/x
  3. Step 3: Cross multiply
    2,485.65x = 2,918.14 × 2,918.14
  4. Step 4: Simplify right side
    2,485.65x = 8,515,516.21
  5. Step 5: Solve for x
    x = 8,515,516.21/2,485.65
  6. Step 6: Final answer
    x = 3,425.87

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.