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Finding the Third Proportional to 129,205,987 and 198,598,549.50

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Solution

The third proportional to 129,205,987 and 198,598,549.50 is: 305,259,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,987 : 198,598,549.50 = 198,598,549.50 : x
  2. Step 2: Convert to fraction form
    129,205,987/198,598,549.50 = 198,598,549.50/x
  3. Step 3: Cross multiply
    129,205,987x = 198,598,549.50 × 198,598,549.50
  4. Step 4: Simplify right side
    129,205,987x = 39,441,383,863,503,952
  5. Step 5: Solve for x
    x = 39,441,383,863,503,952/129,205,987
  6. Step 6: Final answer
    x = 305,259,723.48

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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.