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Finding the Third Proportional to 4,777,590 and 10,394,946

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Solution

The third proportional to 4,777,590 and 10,394,946 is: 22,617,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777,590 : 10,394,946 = 10,394,946 : x
  2. Step 2: Convert to fraction form
    4,777,590/10,394,946 = 10,394,946/x
  3. Step 3: Cross multiply
    4,777,590x = 10,394,946 × 10,394,946
  4. Step 4: Simplify right side
    4,777,590x = 108,054,902,342,916
  5. Step 5: Solve for x
    x = 108,054,902,342,916/4,777,590
  6. Step 6: Final answer
    x = 22,617,031.25

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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.