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Finding the Third Proportional to 1,179,678 and 2,580,135

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Solution

The third proportional to 1,179,678 and 2,580,135 is: 5,643,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,678 : 2,580,135 = 2,580,135 : x
  2. Step 2: Convert to fraction form
    1,179,678/2,580,135 = 2,580,135/x
  3. Step 3: Cross multiply
    1,179,678x = 2,580,135 × 2,580,135
  4. Step 4: Simplify right side
    1,179,678x = 6,657,096,618,225
  5. Step 5: Solve for x
    x = 6,657,096,618,225/1,179,678
  6. Step 6: Final answer
    x = 5,643,147.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.