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Finding the Third Proportional to 20,121.64 and 43,702.98

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Solution

The third proportional to 20,121.64 and 43,702.98 is: 94,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.64 : 43,702.98 = 43,702.98 : x
  2. Step 2: Convert to fraction form
    20,121.64/43,702.98 = 43,702.98/x
  3. Step 3: Cross multiply
    20,121.64x = 43,702.98 × 43,702.98
  4. Step 4: Simplify right side
    20,121.64x = 1,909,950,501.85
  5. Step 5: Solve for x
    x = 1,909,950,501.85/20,121.64
  6. Step 6: Final answer
    x = 94,920.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.