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Finding the Third Proportional to 201,815,728 and 311,802,072

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Solution

The third proportional to 201,815,728 and 311,802,072 is: 481,729,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,815,728 : 311,802,072 = 311,802,072 : x
  2. Step 2: Convert to fraction form
    201,815,728/311,802,072 = 311,802,072/x
  3. Step 3: Cross multiply
    201,815,728x = 311,802,072 × 311,802,072
  4. Step 4: Simplify right side
    201,815,728x = 97,220,532,103,493,184
  5. Step 5: Solve for x
    x = 97,220,532,103,493,184/201,815,728
  6. Step 6: Final answer
    x = 481,729,214.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.