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Finding the Third Proportional to 2,191,890 and 3,439,295

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Solution

The third proportional to 2,191,890 and 3,439,295 is: 5,396,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,890 : 3,439,295 = 3,439,295 : x
  2. Step 2: Convert to fraction form
    2,191,890/3,439,295 = 3,439,295/x
  3. Step 3: Cross multiply
    2,191,890x = 3,439,295 × 3,439,295
  4. Step 4: Simplify right side
    2,191,890x = 11,828,750,097,025
  5. Step 5: Solve for x
    x = 11,828,750,097,025/2,191,890
  6. Step 6: Final answer
    x = 5,396,598.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.