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Finding the Third Proportional to 7,085,220 and 11,279,448

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Solution

The third proportional to 7,085,220 and 11,279,448 is: 17,956,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085,220 : 11,279,448 = 11,279,448 : x
  2. Step 2: Convert to fraction form
    7,085,220/11,279,448 = 11,279,448/x
  3. Step 3: Cross multiply
    7,085,220x = 11,279,448 × 11,279,448
  4. Step 4: Simplify right side
    7,085,220x = 127,225,947,184,704
  5. Step 5: Solve for x
    x = 127,225,947,184,704/7,085,220
  6. Step 6: Final answer
    x = 17,956,527.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.