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Finding the Third Proportional to 814,915,120.50 and 1,767,639,388.50

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Solution

The third proportional to 814,915,120.50 and 1,767,639,388.50 is: 3,834,201,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,915,120.50 : 1,767,639,388.50 = 1,767,639,388.50 : x
  2. Step 2: Convert to fraction form
    814,915,120.50/1,767,639,388.50 = 1,767,639,388.50/x
  3. Step 3: Cross multiply
    814,915,120.50x = 1,767,639,388.50 × 1,767,639,388.50
  4. Step 4: Simplify right side
    814,915,120.50x = 3,124,549,007,776,653,824
  5. Step 5: Solve for x
    x = 3,124,549,007,776,653,824/814,915,120.50
  6. Step 6: Final answer
    x = 3,834,201,782.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.