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Finding the Third Proportional to 770.91 and 1,172.11

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Solution

The third proportional to 770.91 and 1,172.11 is: 1,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.91 : 1,172.11 = 1,172.11 : x
  2. Step 2: Convert to fraction form
    770.91/1,172.11 = 1,172.11/x
  3. Step 3: Cross multiply
    770.91x = 1,172.11 × 1,172.11
  4. Step 4: Simplify right side
    770.91x = 1,373,840.39
  5. Step 5: Solve for x
    x = 1,373,840.39/770.91
  6. Step 6: Final answer
    x = 1,782.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.