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Finding the Third Proportional to 4,387,240 and 6,780,009

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Solution

The third proportional to 4,387,240 and 6,780,009 is: 10,477,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387,240 : 6,780,009 = 6,780,009 : x
  2. Step 2: Convert to fraction form
    4,387,240/6,780,009 = 6,780,009/x
  3. Step 3: Cross multiply
    4,387,240x = 6,780,009 × 6,780,009
  4. Step 4: Simplify right side
    4,387,240x = 45,968,522,040,081
  5. Step 5: Solve for x
    x = 45,968,522,040,081/4,387,240
  6. Step 6: Final answer
    x = 10,477,776.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.