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Finding the Third Proportional to 21,453.19 and 46,480.50

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Solution

The third proportional to 21,453.19 and 46,480.50 is: 100,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,453.19 : 46,480.50 = 46,480.50 : x
  2. Step 2: Convert to fraction form
    21,453.19/46,480.50 = 46,480.50/x
  3. Step 3: Cross multiply
    21,453.19x = 46,480.50 × 46,480.50
  4. Step 4: Simplify right side
    21,453.19x = 2,160,436,880.25
  5. Step 5: Solve for x
    x = 2,160,436,880.25/21,453.19
  6. Step 6: Final answer
    x = 100,704.70

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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.