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Finding the Third Proportional to 316,811.25 and 659,836.13

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Solution

The third proportional to 316,811.25 and 659,836.13 is: 1,374,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,811.25 : 659,836.13 = 659,836.13 : x
  2. Step 2: Convert to fraction form
    316,811.25/659,836.13 = 659,836.13/x
  3. Step 3: Cross multiply
    316,811.25x = 659,836.13 × 659,836.13
  4. Step 4: Simplify right side
    316,811.25x = 435,383,711,855.02
  5. Step 5: Solve for x
    x = 435,383,711,855.02/316,811.25
  6. Step 6: Final answer
    x = 1,374,268.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.