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Finding the Third Proportional to 7,621,728 and 16,778,730

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Solution

The third proportional to 7,621,728 and 16,778,730 is: 36,937,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,621,728 : 16,778,730 = 16,778,730 : x
  2. Step 2: Convert to fraction form
    7,621,728/16,778,730 = 16,778,730/x
  3. Step 3: Cross multiply
    7,621,728x = 16,778,730 × 16,778,730
  4. Step 4: Simplify right side
    7,621,728x = 281,525,780,412,900
  5. Step 5: Solve for x
    x = 281,525,780,412,900/7,621,728
  6. Step 6: Final answer
    x = 36,937,264.15

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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.