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Finding the Third Proportional to 310,485 and 679,086

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Solution

The third proportional to 310,485 and 679,086 is: 1,485,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,485 : 679,086 = 679,086 : x
  2. Step 2: Convert to fraction form
    310,485/679,086 = 679,086/x
  3. Step 3: Cross multiply
    310,485x = 679,086 × 679,086
  4. Step 4: Simplify right side
    310,485x = 461,157,795,396
  5. Step 5: Solve for x
    x = 461,157,795,396/310,485
  6. Step 6: Final answer
    x = 1,485,282.04

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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.