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Finding the Third Proportional to 310,843,410 and 680,089,968

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Solution

The third proportional to 310,843,410 and 680,089,968 is: 1,487,959,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843,410 : 680,089,968 = 680,089,968 : x
  2. Step 2: Convert to fraction form
    310,843,410/680,089,968 = 680,089,968/x
  3. Step 3: Cross multiply
    310,843,410x = 680,089,968 × 680,089,968
  4. Step 4: Simplify right side
    310,843,410x = 462,522,364,574,241,024
  5. Step 5: Solve for x
    x = 462,522,364,574,241,024/310,843,410
  6. Step 6: Final answer
    x = 1,487,959,370.20

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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.