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Finding the Third Proportional to 3,144,903 and 6,878,649

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Solution

The third proportional to 3,144,903 and 6,878,649 is: 15,045,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144,903 : 6,878,649 = 6,878,649 : x
  2. Step 2: Convert to fraction form
    3,144,903/6,878,649 = 6,878,649/x
  3. Step 3: Cross multiply
    3,144,903x = 6,878,649 × 6,878,649
  4. Step 4: Simplify right side
    3,144,903x = 47,315,812,065,201
  5. Step 5: Solve for x
    x = 47,315,812,065,201/3,144,903
  6. Step 6: Final answer
    x = 15,045,237.35

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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.