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Finding the Third Proportional to 409,316,652 and 629,784,018

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Solution

The third proportional to 409,316,652 and 629,784,018 is: 969,000,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,316,652 : 629,784,018 = 629,784,018 : x
  2. Step 2: Convert to fraction form
    409,316,652/629,784,018 = 629,784,018/x
  3. Step 3: Cross multiply
    409,316,652x = 629,784,018 × 629,784,018
  4. Step 4: Simplify right side
    409,316,652x = 396,627,909,328,224,320
  5. Step 5: Solve for x
    x = 396,627,909,328,224,320/409,316,652
  6. Step 6: Final answer
    x = 969,000,179.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.