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Finding the Third Proportional to 311,020,708.50 and 668,197,734.75

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Solution

The third proportional to 311,020,708.50 and 668,197,734.75 is: 1,435,557,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,020,708.50 : 668,197,734.75 = 668,197,734.75 : x
  2. Step 2: Convert to fraction form
    311,020,708.50/668,197,734.75 = 668,197,734.75/x
  3. Step 3: Cross multiply
    311,020,708.50x = 668,197,734.75 × 668,197,734.75
  4. Step 4: Simplify right side
    311,020,708.50x = 446,488,212,725,031,360
  5. Step 5: Solve for x
    x = 446,488,212,725,031,360/311,020,708.50
  6. Step 6: Final answer
    x = 1,435,557,827.90

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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.