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Finding the Third Proportional to 310,843,305 and 680,089,761

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Solution

The third proportional to 310,843,305 and 680,089,761 is: 1,487,958,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843,305 : 680,089,761 = 680,089,761 : x
  2. Step 2: Convert to fraction form
    310,843,305/680,089,761 = 680,089,761/x
  3. Step 3: Cross multiply
    310,843,305x = 680,089,761 × 680,089,761
  4. Step 4: Simplify right side
    310,843,305x = 462,522,083,017,037,120
  5. Step 5: Solve for x
    x = 462,522,083,017,037,120/310,843,305
  6. Step 6: Final answer
    x = 1,487,958,967.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.