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Finding the Third Proportional to 1,702.90 and 2,890.37

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Solution

The third proportional to 1,702.90 and 2,890.37 is: 4,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.90 : 2,890.37 = 2,890.37 : x
  2. Step 2: Convert to fraction form
    1,702.90/2,890.37 = 2,890.37/x
  3. Step 3: Cross multiply
    1,702.90x = 2,890.37 × 2,890.37
  4. Step 4: Simplify right side
    1,702.90x = 8,354,245.06
  5. Step 5: Solve for x
    x = 8,354,245.06/1,702.90
  6. Step 6: Final answer
    x = 4,905.90

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.