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Finding the Third Proportional to 142,199,982 and 212,368,149

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Solution

The third proportional to 142,199,982 and 212,368,149 is: 317,160,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,199,982 : 212,368,149 = 212,368,149 : x
  2. Step 2: Convert to fraction form
    142,199,982/212,368,149 = 212,368,149/x
  3. Step 3: Cross multiply
    142,199,982x = 212,368,149 × 212,368,149
  4. Step 4: Simplify right side
    142,199,982x = 45,100,230,709,686,200
  5. Step 5: Solve for x
    x = 45,100,230,709,686,200/142,199,982
  6. Step 6: Final answer
    x = 317,160,593.66

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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.