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Finding the Third Proportional to 665.09 and 1,029.80

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Solution

The third proportional to 665.09 and 1,029.80 is: 1,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.09 : 1,029.80 = 1,029.80 : x
  2. Step 2: Convert to fraction form
    665.09/1,029.80 = 1,029.80/x
  3. Step 3: Cross multiply
    665.09x = 1,029.80 × 1,029.80
  4. Step 4: Simplify right side
    665.09x = 1,060,481.60
  5. Step 5: Solve for x
    x = 1,060,481.60/665.09
  6. Step 6: Final answer
    x = 1,594.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.