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Finding the Third Proportional to 672.28 and 1,038.33

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Solution

The third proportional to 672.28 and 1,038.33 is: 1,603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.28 : 1,038.33 = 1,038.33 : x
  2. Step 2: Convert to fraction form
    672.28/1,038.33 = 1,038.33/x
  3. Step 3: Cross multiply
    672.28x = 1,038.33 × 1,038.33
  4. Step 4: Simplify right side
    672.28x = 1,078,122.25
  5. Step 5: Solve for x
    x = 1,078,122.25/672.28
  6. Step 6: Final answer
    x = 1,603.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.