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Finding the Third Proportional to 8,085,680 and 17,690,608

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Solution

The third proportional to 8,085,680 and 17,690,608 is: 38,705,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085,680 : 17,690,608 = 17,690,608 : x
  2. Step 2: Convert to fraction form
    8,085,680/17,690,608 = 17,690,608/x
  3. Step 3: Cross multiply
    8,085,680x = 17,690,608 × 17,690,608
  4. Step 4: Simplify right side
    8,085,680x = 312,957,611,409,664
  5. Step 5: Solve for x
    x = 312,957,611,409,664/8,085,680
  6. Step 6: Final answer
    x = 38,705,169.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.