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Finding the Third Proportional to 268,836,261.75 and 405,724,763.25

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Solution

The third proportional to 268,836,261.75 and 405,724,763.25 is: 612,315,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,836,261.75 : 405,724,763.25 = 405,724,763.25 : x
  2. Step 2: Convert to fraction form
    268,836,261.75/405,724,763.25 = 405,724,763.25/x
  3. Step 3: Cross multiply
    268,836,261.75x = 405,724,763.25 × 405,724,763.25
  4. Step 4: Simplify right side
    268,836,261.75x = 164,612,583,514,268,544
  5. Step 5: Solve for x
    x = 164,612,583,514,268,544/268,836,261.75
  6. Step 6: Final answer
    x = 612,315,401.36

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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.