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Finding the Third Proportional to 1,421,725.50 and 3,131,649

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Solution

The third proportional to 1,421,725.50 and 3,131,649 is: 6,898,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,725.50 : 3,131,649 = 3,131,649 : x
  2. Step 2: Convert to fraction form
    1,421,725.50/3,131,649 = 3,131,649/x
  3. Step 3: Cross multiply
    1,421,725.50x = 3,131,649 × 3,131,649
  4. Step 4: Simplify right side
    1,421,725.50x = 9,807,225,459,201
  5. Step 5: Solve for x
    x = 9,807,225,459,201/1,421,725.50
  6. Step 6: Final answer
    x = 6,898,114.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.