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Finding the Third Proportional to 7,621,724 and 16,778,722

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Solution

The third proportional to 7,621,724 and 16,778,722 is: 36,937,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,621,724 : 16,778,722 = 16,778,722 : x
  2. Step 2: Convert to fraction form
    7,621,724/16,778,722 = 16,778,722/x
  3. Step 3: Cross multiply
    7,621,724x = 16,778,722 × 16,778,722
  4. Step 4: Simplify right side
    7,621,724x = 281,525,511,953,284
  5. Step 5: Solve for x
    x = 281,525,511,953,284/7,621,724
  6. Step 6: Final answer
    x = 36,937,248.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.