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Finding the Third Proportional to 42,143,989 and 91,945,349

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Solution

The third proportional to 42,143,989 and 91,945,349 is: 200,596,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,143,989 : 91,945,349 = 91,945,349 : x
  2. Step 2: Convert to fraction form
    42,143,989/91,945,349 = 91,945,349/x
  3. Step 3: Cross multiply
    42,143,989x = 91,945,349 × 91,945,349
  4. Step 4: Simplify right side
    42,143,989x = 8,453,947,202,731,801
  5. Step 5: Solve for x
    x = 8,453,947,202,731,801/42,143,989
  6. Step 6: Final answer
    x = 200,596,749.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.