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Finding the Third Proportional to 661.06 and 1,029.44

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Solution

The third proportional to 661.06 and 1,029.44 is: 1,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.06 : 1,029.44 = 1,029.44 : x
  2. Step 2: Convert to fraction form
    661.06/1,029.44 = 1,029.44/x
  3. Step 3: Cross multiply
    661.06x = 1,029.44 × 1,029.44
  4. Step 4: Simplify right side
    661.06x = 1,059,741.57
  5. Step 5: Solve for x
    x = 1,059,741.57/661.06
  6. Step 6: Final answer
    x = 1,603.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.