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Finding the Third Proportional to 142,199,997 and 212,368,171

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Solution

The third proportional to 142,199,997 and 212,368,171 is: 317,160,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,199,997 : 212,368,171 = 212,368,171 : x
  2. Step 2: Convert to fraction form
    142,199,997/212,368,171 = 212,368,171/x
  3. Step 3: Cross multiply
    142,199,997x = 212,368,171 × 212,368,171
  4. Step 4: Simplify right side
    142,199,997x = 45,100,240,053,885,240
  5. Step 5: Solve for x
    x = 45,100,240,053,885,240/142,199,997
  6. Step 6: Final answer
    x = 317,160,625.92

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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.