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Finding the Third Proportional to 255,959,742.75 and 386,629,563.75

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Solution

The third proportional to 255,959,742.75 and 386,629,563.75 is: 584,007,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,959,742.75 : 386,629,563.75 = 386,629,563.75 : x
  2. Step 2: Convert to fraction form
    255,959,742.75/386,629,563.75 = 386,629,563.75/x
  3. Step 3: Cross multiply
    255,959,742.75x = 386,629,563.75 × 386,629,563.75
  4. Step 4: Simplify right side
    255,959,742.75x = 149,482,419,565,515,328
  5. Step 5: Solve for x
    x = 149,482,419,565,515,328/255,959,742.75
  6. Step 6: Final answer
    x = 584,007,539.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.