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Finding the Third Proportional to 1,784.53 and 3,705.75

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Solution

The third proportional to 1,784.53 and 3,705.75 is: 7,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.53 : 3,705.75 = 3,705.75 : x
  2. Step 2: Convert to fraction form
    1,784.53/3,705.75 = 3,705.75/x
  3. Step 3: Cross multiply
    1,784.53x = 3,705.75 × 3,705.75
  4. Step 4: Simplify right side
    1,784.53x = 13,732,583.06
  5. Step 5: Solve for x
    x = 13,732,583.06/1,784.53
  6. Step 6: Final answer
    x = 7,695.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.