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Finding the Third Proportional to 128,533,269 and 195,811,686

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Solution

The third proportional to 128,533,269 and 195,811,686 is: 298,305,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,533,269 : 195,811,686 = 195,811,686 : x
  2. Step 2: Convert to fraction form
    128,533,269/195,811,686 = 195,811,686/x
  3. Step 3: Cross multiply
    128,533,269x = 195,811,686 × 195,811,686
  4. Step 4: Simplify right side
    128,533,269x = 38,342,216,374,162,592
  5. Step 5: Solve for x
    x = 38,342,216,374,162,592/128,533,269
  6. Step 6: Final answer
    x = 298,305,774.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.