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Finding the Third Proportional to 1,863,340,124 and 3,988,431,342

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Solution

The third proportional to 1,863,340,124 and 3,988,431,342 is: 8,537,134,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,340,124 : 3,988,431,342 = 3,988,431,342 : x
  2. Step 2: Convert to fraction form
    1,863,340,124/3,988,431,342 = 3,988,431,342/x
  3. Step 3: Cross multiply
    1,863,340,124x = 3,988,431,342 × 3,988,431,342
  4. Step 4: Simplify right side
    1,863,340,124x = 15,907,584,569,847,920,640
  5. Step 5: Solve for x
    x = 15,907,584,569,847,920,640/1,863,340,124
  6. Step 6: Final answer
    x = 8,537,134,130.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.