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Finding the Third Proportional to 129,205,106 and 198,597,532

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Solution

The third proportional to 129,205,106 and 198,597,532 is: 305,258,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,106 : 198,597,532 = 198,597,532 : x
  2. Step 2: Convert to fraction form
    129,205,106/198,597,532 = 198,597,532/x
  3. Step 3: Cross multiply
    129,205,106x = 198,597,532 × 198,597,532
  4. Step 4: Simplify right side
    129,205,106x = 39,440,979,716,491,024
  5. Step 5: Solve for x
    x = 39,440,979,716,491,024/129,205,106
  6. Step 6: Final answer
    x = 305,258,676.98

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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.