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Finding the Third Proportional to 8,401,770 and 18,323,964

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Solution

The third proportional to 8,401,770 and 18,323,964 is: 39,963,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401,770 : 18,323,964 = 18,323,964 : x
  2. Step 2: Convert to fraction form
    8,401,770/18,323,964 = 18,323,964/x
  3. Step 3: Cross multiply
    8,401,770x = 18,323,964 × 18,323,964
  4. Step 4: Simplify right side
    8,401,770x = 335,767,656,673,296
  5. Step 5: Solve for x
    x = 335,767,656,673,296/8,401,770
  6. Step 6: Final answer
    x = 39,963,919.11

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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.