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Finding the Third Proportional to 54,831,861 and 120,426,019

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Solution

The third proportional to 54,831,861 and 120,426,019 is: 264,489,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,831,861 : 120,426,019 = 120,426,019 : x
  2. Step 2: Convert to fraction form
    54,831,861/120,426,019 = 120,426,019/x
  3. Step 3: Cross multiply
    54,831,861x = 120,426,019 × 120,426,019
  4. Step 4: Simplify right side
    54,831,861x = 14,502,426,052,188,360
  5. Step 5: Solve for x
    x = 14,502,426,052,188,360/54,831,861
  6. Step 6: Final answer
    x = 264,489,035.89

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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.