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Finding the Third Proportional to 764,682,136.13 and 1,180,802,937.75

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Solution

The third proportional to 764,682,136.13 and 1,180,802,937.75 is: 1,823,366,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,682,136.13 : 1,180,802,937.75 = 1,180,802,937.75 : x
  2. Step 2: Convert to fraction form
    764,682,136.13/1,180,802,937.75 = 1,180,802,937.75/x
  3. Step 3: Cross multiply
    764,682,136.13x = 1,180,802,937.75 × 1,180,802,937.75
  4. Step 4: Simplify right side
    764,682,136.13x = 1,394,295,577,799,030,272
  5. Step 5: Solve for x
    x = 1,394,295,577,799,030,272/764,682,136.13
  6. Step 6: Final answer
    x = 1,823,366,222.29

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1.5x scale

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.