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Finding the Third Proportional to 10,918,678 and 17,126,710

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Solution

The third proportional to 10,918,678 and 17,126,710 is: 26,864,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918,678 : 17,126,710 = 17,126,710 : x
  2. Step 2: Convert to fraction form
    10,918,678/17,126,710 = 17,126,710/x
  3. Step 3: Cross multiply
    10,918,678x = 17,126,710 × 17,126,710
  4. Step 4: Simplify right side
    10,918,678x = 293,324,195,424,100
  5. Step 5: Solve for x
    x = 293,324,195,424,100/10,918,678
  6. Step 6: Final answer
    x = 26,864,442.33

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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.