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Finding the Third Proportional to 129,205,900 and 198,598,380

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Solution

The third proportional to 129,205,900 and 198,598,380 is: 305,259,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,900 : 198,598,380 = 198,598,380 : x
  2. Step 2: Convert to fraction form
    129,205,900/198,598,380 = 198,598,380/x
  3. Step 3: Cross multiply
    129,205,900x = 198,598,380 × 198,598,380
  4. Step 4: Simplify right side
    129,205,900x = 39,441,316,538,624,400
  5. Step 5: Solve for x
    x = 39,441,316,538,624,400/129,205,900
  6. Step 6: Final answer
    x = 305,259,407.96

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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.