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Finding the Third Proportional to 702.42 and 1,069.45

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Solution

The third proportional to 702.42 and 1,069.45 is: 1,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.42 : 1,069.45 = 1,069.45 : x
  2. Step 2: Convert to fraction form
    702.42/1,069.45 = 1,069.45/x
  3. Step 3: Cross multiply
    702.42x = 1,069.45 × 1,069.45
  4. Step 4: Simplify right side
    702.42x = 1,143,729.99
  5. Step 5: Solve for x
    x = 1,143,729.99/702.42
  6. Step 6: Final answer
    x = 1,628.27

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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.