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Finding the Third Proportional to 785.06 and 1,202.06

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Solution

The third proportional to 785.06 and 1,202.06 is: 1,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.06 : 1,202.06 = 1,202.06 : x
  2. Step 2: Convert to fraction form
    785.06/1,202.06 = 1,202.06/x
  3. Step 3: Cross multiply
    785.06x = 1,202.06 × 1,202.06
  4. Step 4: Simplify right side
    785.06x = 1,444,954.25
  5. Step 5: Solve for x
    x = 1,444,954.25/785.06
  6. Step 6: Final answer
    x = 1,840.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.