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Finding the Third Proportional to 8,389,319 and 18,379,321

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Solution

The third proportional to 8,389,319 and 18,379,321 is: 40,265,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389,319 : 18,379,321 = 18,379,321 : x
  2. Step 2: Convert to fraction form
    8,389,319/18,379,321 = 18,379,321/x
  3. Step 3: Cross multiply
    8,389,319x = 18,379,321 × 18,379,321
  4. Step 4: Simplify right side
    8,389,319x = 337,799,440,421,041
  5. Step 5: Solve for x
    x = 337,799,440,421,041/8,389,319
  6. Step 6: Final answer
    x = 40,265,418.49

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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.