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Finding the Third Proportional to 770.06 and 1,628.44

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Solution

The third proportional to 770.06 and 1,628.44 is: 3,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.06 : 1,628.44 = 1,628.44 : x
  2. Step 2: Convert to fraction form
    770.06/1,628.44 = 1,628.44/x
  3. Step 3: Cross multiply
    770.06x = 1,628.44 × 1,628.44
  4. Step 4: Simplify right side
    770.06x = 2,651,808.69
  5. Step 5: Solve for x
    x = 2,651,808.69/770.06
  6. Step 6: Final answer
    x = 3,443.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.