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Finding the Third Proportional to 137,395,224 and 296,313,200

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Solution

The third proportional to 137,395,224 and 296,313,200 is: 639,043,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,395,224 : 296,313,200 = 296,313,200 : x
  2. Step 2: Convert to fraction form
    137,395,224/296,313,200 = 296,313,200/x
  3. Step 3: Cross multiply
    137,395,224x = 296,313,200 × 296,313,200
  4. Step 4: Simplify right side
    137,395,224x = 87,801,512,494,240,000
  5. Step 5: Solve for x
    x = 87,801,512,494,240,000/137,395,224
  6. Step 6: Final answer
    x = 639,043,410.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.