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Finding the Third Proportional to 202,446,568,987.50 and 435,360,650,505

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Solution

The third proportional to 202,446,568,987.50 and 435,360,650,505 is: 936,241,581,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446,568,987.50 : 435,360,650,505 = 435,360,650,505 : x
  2. Step 2: Convert to fraction form
    202,446,568,987.50/435,360,650,505 = 435,360,650,505/x
  3. Step 3: Cross multiply
    202,446,568,987.50x = 435,360,650,505 × 435,360,650,505
  4. Step 4: Simplify right side
    202,446,568,987.50x = 189,538,896,008,136,764,686,336
  5. Step 5: Solve for x
    x = 189,538,896,008,136,764,686,336/202,446,568,987.50
  6. Step 6: Final answer
    x = 936,241,581,944.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.