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Finding the Third Proportional to 320,276.25 and 491,268.38

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Solution

The third proportional to 320,276.25 and 491,268.38 is: 753,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,276.25 : 491,268.38 = 491,268.38 : x
  2. Step 2: Convert to fraction form
    320,276.25/491,268.38 = 491,268.38/x
  3. Step 3: Cross multiply
    320,276.25x = 491,268.38 × 491,268.38
  4. Step 4: Simplify right side
    320,276.25x = 241,344,616,275.14
  5. Step 5: Solve for x
    x = 241,344,616,275.14/320,276.25
  6. Step 6: Final answer
    x = 753,551.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.