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Finding the Third Proportional to 104,621,032 and 143,616,114

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Solution

The third proportional to 104,621,032 and 143,616,114 is: 197,145,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,621,032 : 143,616,114 = 143,616,114 : x
  2. Step 2: Convert to fraction form
    104,621,032/143,616,114 = 143,616,114/x
  3. Step 3: Cross multiply
    104,621,032x = 143,616,114 × 143,616,114
  4. Step 4: Simplify right side
    104,621,032x = 20,625,588,200,460,996
  5. Step 5: Solve for x
    x = 20,625,588,200,460,996/104,621,032
  6. Step 6: Final answer
    x = 197,145,715.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.