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Finding the Third Proportional to 3,038,760 and 6,484,261.50

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Solution

The third proportional to 3,038,760 and 6,484,261.50 is: 13,836,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038,760 : 6,484,261.50 = 6,484,261.50 : x
  2. Step 2: Convert to fraction form
    3,038,760/6,484,261.50 = 6,484,261.50/x
  3. Step 3: Cross multiply
    3,038,760x = 6,484,261.50 × 6,484,261.50
  4. Step 4: Simplify right side
    3,038,760x = 42,045,647,200,382.25
  5. Step 5: Solve for x
    x = 42,045,647,200,382.25/3,038,760
  6. Step 6: Final answer
    x = 13,836,448.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.