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Finding the Third Proportional to 770.34 and 1,079.16

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Solution

The third proportional to 770.34 and 1,079.16 is: 1,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.34 : 1,079.16 = 1,079.16 : x
  2. Step 2: Convert to fraction form
    770.34/1,079.16 = 1,079.16/x
  3. Step 3: Cross multiply
    770.34x = 1,079.16 × 1,079.16
  4. Step 4: Simplify right side
    770.34x = 1,164,578.21
  5. Step 5: Solve for x
    x = 1,164,578.21/770.34
  6. Step 6: Final answer
    x = 1,511.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.