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Finding the Third Proportional to 2,139,639 and 4,616,331

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Solution

The third proportional to 2,139,639 and 4,616,331 is: 9,959,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139,639 : 4,616,331 = 4,616,331 : x
  2. Step 2: Convert to fraction form
    2,139,639/4,616,331 = 4,616,331/x
  3. Step 3: Cross multiply
    2,139,639x = 4,616,331 × 4,616,331
  4. Step 4: Simplify right side
    2,139,639x = 21,310,511,901,561
  5. Step 5: Solve for x
    x = 21,310,511,901,561/2,139,639
  6. Step 6: Final answer
    x = 9,959,863.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.