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Finding the Third Proportional to 689,148,390 and 1,512,198,042

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Solution

The third proportional to 689,148,390 and 1,512,198,042 is: 3,318,215,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,148,390 : 1,512,198,042 = 1,512,198,042 : x
  2. Step 2: Convert to fraction form
    689,148,390/1,512,198,042 = 1,512,198,042/x
  3. Step 3: Cross multiply
    689,148,390x = 1,512,198,042 × 1,512,198,042
  4. Step 4: Simplify right side
    689,148,390x = 2,286,742,918,228,633,856
  5. Step 5: Solve for x
    x = 2,286,742,918,228,633,856/689,148,390
  6. Step 6: Final answer
    x = 3,318,215,570.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.