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Finding the Third Proportional to 11,502,784 and 18,042,912

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Solution

The third proportional to 11,502,784 and 18,042,912 is: 28,301,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502,784 : 18,042,912 = 18,042,912 : x
  2. Step 2: Convert to fraction form
    11,502,784/18,042,912 = 18,042,912/x
  3. Step 3: Cross multiply
    11,502,784x = 18,042,912 × 18,042,912
  4. Step 4: Simplify right side
    11,502,784x = 325,546,673,439,744
  5. Step 5: Solve for x
    x = 325,546,673,439,744/11,502,784
  6. Step 6: Final answer
    x = 28,301,554.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.