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Finding the Third Proportional to 770.44 and 1,029.47

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Solution

The third proportional to 770.44 and 1,029.47 is: 1,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,029.47 = 1,029.47 : x
  2. Step 2: Convert to fraction form
    770.44/1,029.47 = 1,029.47/x
  3. Step 3: Cross multiply
    770.44x = 1,029.47 × 1,029.47
  4. Step 4: Simplify right side
    770.44x = 1,059,805.91
  5. Step 5: Solve for x
    x = 1,059,805.91/770.44
  6. Step 6: Final answer
    x = 1,375.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.