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Finding the Third Proportional to 301,081.13 and 440,316.75

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Solution

The third proportional to 301,081.13 and 440,316.75 is: 643,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,081.13 : 440,316.75 = 440,316.75 : x
  2. Step 2: Convert to fraction form
    301,081.13/440,316.75 = 440,316.75/x
  3. Step 3: Cross multiply
    301,081.13x = 440,316.75 × 440,316.75
  4. Step 4: Simplify right side
    301,081.13x = 193,878,840,330.56
  5. Step 5: Solve for x
    x = 193,878,840,330.56/301,081.13
  6. Step 6: Final answer
    x = 643,942.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.