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Finding the Third Proportional to 7,728,050 and 11,355,717

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Solution

The third proportional to 7,728,050 and 11,355,717 is: 16,686,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728,050 : 11,355,717 = 11,355,717 : x
  2. Step 2: Convert to fraction form
    7,728,050/11,355,717 = 11,355,717/x
  3. Step 3: Cross multiply
    7,728,050x = 11,355,717 × 11,355,717
  4. Step 4: Simplify right side
    7,728,050x = 128,952,308,584,089
  5. Step 5: Solve for x
    x = 128,952,308,584,089/7,728,050
  6. Step 6: Final answer
    x = 16,686,267.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.