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Finding the Third Proportional to 142,199,993 and 212,368,165

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Solution

The third proportional to 142,199,993 and 212,368,165 is: 317,160,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,199,993 : 212,368,165 = 212,368,165 : x
  2. Step 2: Convert to fraction form
    142,199,993/212,368,165 = 212,368,165/x
  3. Step 3: Cross multiply
    142,199,993x = 212,368,165 × 212,368,165
  4. Step 4: Simplify right side
    142,199,993x = 45,100,237,505,467,224
  5. Step 5: Solve for x
    x = 45,100,237,505,467,224/142,199,993
  6. Step 6: Final answer
    x = 317,160,616.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.