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Finding the Third Proportional to 11,872,569 and 18,814,947

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Solution

The third proportional to 11,872,569 and 18,814,947 is: 29,816,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872,569 : 18,814,947 = 18,814,947 : x
  2. Step 2: Convert to fraction form
    11,872,569/18,814,947 = 18,814,947/x
  3. Step 3: Cross multiply
    11,872,569x = 18,814,947 × 18,814,947
  4. Step 4: Simplify right side
    11,872,569x = 354,002,230,612,809
  5. Step 5: Solve for x
    x = 354,002,230,612,809/11,872,569
  6. Step 6: Final answer
    x = 29,816,818.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.