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Finding the Third Proportional to 8,169,638 and 17,776,318

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Solution

The third proportional to 8,169,638 and 17,776,318 is: 38,679,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169,638 : 17,776,318 = 17,776,318 : x
  2. Step 2: Convert to fraction form
    8,169,638/17,776,318 = 17,776,318/x
  3. Step 3: Cross multiply
    8,169,638x = 17,776,318 × 17,776,318
  4. Step 4: Simplify right side
    8,169,638x = 315,997,481,637,124
  5. Step 5: Solve for x
    x = 315,997,481,637,124/8,169,638
  6. Step 6: Final answer
    x = 38,679,496.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.