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Finding the Third Proportional to 13,089,643.50 and 21,090,901

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Solution

The third proportional to 13,089,643.50 and 21,090,901 is: 33,983,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089,643.50 : 21,090,901 = 21,090,901 : x
  2. Step 2: Convert to fraction form
    13,089,643.50/21,090,901 = 21,090,901/x
  3. Step 3: Cross multiply
    13,089,643.50x = 21,090,901 × 21,090,901
  4. Step 4: Simplify right side
    13,089,643.50x = 444,826,104,991,801
  5. Step 5: Solve for x
    x = 444,826,104,991,801/13,089,643.50
  6. Step 6: Final answer
    x = 33,983,057.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.