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Finding the Third Proportional to 311,020,740 and 668,197,813.50

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Solution

The third proportional to 311,020,740 and 668,197,813.50 is: 1,435,558,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,020,740 : 668,197,813.50 = 668,197,813.50 : x
  2. Step 2: Convert to fraction form
    311,020,740/668,197,813.50 = 668,197,813.50/x
  3. Step 3: Cross multiply
    311,020,740x = 668,197,813.50 × 668,197,813.50
  4. Step 4: Simplify right side
    311,020,740x = 446,488,317,966,180,800
  5. Step 5: Solve for x
    x = 446,488,317,966,180,800/311,020,740
  6. Step 6: Final answer
    x = 1,435,558,020.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.