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Finding the Third Proportional to 149,463,489 and 210,385,811

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Solution

The third proportional to 149,463,489 and 210,385,811 is: 296,140,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,463,489 : 210,385,811 = 210,385,811 : x
  2. Step 2: Convert to fraction form
    149,463,489/210,385,811 = 210,385,811/x
  3. Step 3: Cross multiply
    149,463,489x = 210,385,811 × 210,385,811
  4. Step 4: Simplify right side
    149,463,489x = 44,262,189,470,127,720
  5. Step 5: Solve for x
    x = 44,262,189,470,127,720/149,463,489
  6. Step 6: Final answer
    x = 296,140,480.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.