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Finding the Third Proportional to 1,285.03 and 1,708.80

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Solution

The third proportional to 1,285.03 and 1,708.80 is: 2,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.03 : 1,708.80 = 1,708.80 : x
  2. Step 2: Convert to fraction form
    1,285.03/1,708.80 = 1,708.80/x
  3. Step 3: Cross multiply
    1,285.03x = 1,708.80 × 1,708.80
  4. Step 4: Simplify right side
    1,285.03x = 2,920,013.46
  5. Step 5: Solve for x
    x = 2,920,013.46/1,285.03
  6. Step 6: Final answer
    x = 2,272.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.