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Finding the Third Proportional to 2,913,144.75 and 4,410,196.88

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Solution

The third proportional to 2,913,144.75 and 4,410,196.88 is: 6,676,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,144.75 : 4,410,196.88 = 4,410,196.88 : x
  2. Step 2: Convert to fraction form
    2,913,144.75/4,410,196.88 = 4,410,196.88/x
  3. Step 3: Cross multiply
    2,913,144.75x = 4,410,196.88 × 4,410,196.88
  4. Step 4: Simplify right side
    2,913,144.75x = 19,449,836,476,259.77
  5. Step 5: Solve for x
    x = 19,449,836,476,259.77/2,913,144.75
  6. Step 6: Final answer
    x = 6,676,577.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.