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Finding the Third Proportional to 312,268.92 and 671,900.06

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Solution

The third proportional to 312,268.92 and 671,900.06 is: 1,445,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,268.92 : 671,900.06 = 671,900.06 : x
  2. Step 2: Convert to fraction form
    312,268.92/671,900.06 = 671,900.06/x
  3. Step 3: Cross multiply
    312,268.92x = 671,900.06 × 671,900.06
  4. Step 4: Simplify right side
    312,268.92x = 451,449,693,987.50
  5. Step 5: Solve for x
    x = 451,449,693,987.50/312,268.92
  6. Step 6: Final answer
    x = 1,445,708.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.