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Finding the Third Proportional to 2,912,949 and 4,458,129

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Solution

The third proportional to 2,912,949 and 4,458,129 is: 6,822,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,949 : 4,458,129 = 4,458,129 : x
  2. Step 2: Convert to fraction form
    2,912,949/4,458,129 = 4,458,129/x
  3. Step 3: Cross multiply
    2,912,949x = 4,458,129 × 4,458,129
  4. Step 4: Simplify right side
    2,912,949x = 19,874,914,180,641
  5. Step 5: Solve for x
    x = 19,874,914,180,641/2,912,949
  6. Step 6: Final answer
    x = 6,822,953.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.