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Finding the Third Proportional to 21,505.50 and 47,161.13

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Solution

The third proportional to 21,505.50 and 47,161.13 is: 103,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.50 : 47,161.13 = 47,161.13 : x
  2. Step 2: Convert to fraction form
    21,505.50/47,161.13 = 47,161.13/x
  3. Step 3: Cross multiply
    21,505.50x = 47,161.13 × 47,161.13
  4. Step 4: Simplify right side
    21,505.50x = 2,224,171,711.27
  5. Step 5: Solve for x
    x = 2,224,171,711.27/21,505.50
  6. Step 6: Final answer
    x = 103,423.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.