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Finding the Third Proportional to 2,138,751 and 4,755,678

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Solution

The third proportional to 2,138,751 and 4,755,678 is: 10,574,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,751 : 4,755,678 = 4,755,678 : x
  2. Step 2: Convert to fraction form
    2,138,751/4,755,678 = 4,755,678/x
  3. Step 3: Cross multiply
    2,138,751x = 4,755,678 × 4,755,678
  4. Step 4: Simplify right side
    2,138,751x = 22,616,473,239,684
  5. Step 5: Solve for x
    x = 22,616,473,239,684/2,138,751
  6. Step 6: Final answer
    x = 10,574,617.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.