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Finding the Third Proportional to 1,178,517,042 and 1,638,633,771

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Solution

The third proportional to 1,178,517,042 and 1,638,633,771 is: 2,278,389,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,517,042 : 1,638,633,771 = 1,638,633,771 : x
  2. Step 2: Convert to fraction form
    1,178,517,042/1,638,633,771 = 1,638,633,771/x
  3. Step 3: Cross multiply
    1,178,517,042x = 1,638,633,771 × 1,638,633,771
  4. Step 4: Simplify right side
    1,178,517,042x = 2,685,120,635,461,680,640
  5. Step 5: Solve for x
    x = 2,685,120,635,461,680,640/1,178,517,042
  6. Step 6: Final answer
    x = 2,278,389,314.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.