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Finding the Third Proportional to 7,728,008 and 11,355,708

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Solution

The third proportional to 7,728,008 and 11,355,708 is: 16,686,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728,008 : 11,355,708 = 11,355,708 : x
  2. Step 2: Convert to fraction form
    7,728,008/11,355,708 = 11,355,708/x
  3. Step 3: Cross multiply
    7,728,008x = 11,355,708 × 11,355,708
  4. Step 4: Simplify right side
    7,728,008x = 128,952,104,181,264
  5. Step 5: Solve for x
    x = 128,952,104,181,264/7,728,008
  6. Step 6: Final answer
    x = 16,686,331.61

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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.