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Finding the Third Proportional to 702.98 and 1,520.72

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Solution

The third proportional to 702.98 and 1,520.72 is: 3,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.98 : 1,520.72 = 1,520.72 : x
  2. Step 2: Convert to fraction form
    702.98/1,520.72 = 1,520.72/x
  3. Step 3: Cross multiply
    702.98x = 1,520.72 × 1,520.72
  4. Step 4: Simplify right side
    702.98x = 2,312,585.52
  5. Step 5: Solve for x
    x = 2,312,585.52/702.98
  6. Step 6: Final answer
    x = 3,289.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.