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Finding the Third Proportional to 135,958.50 and 314,700.19

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Solution

The third proportional to 135,958.50 and 314,700.19 is: 728,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,958.50 : 314,700.19 = 314,700.19 : x
  2. Step 2: Convert to fraction form
    135,958.50/314,700.19 = 314,700.19/x
  3. Step 3: Cross multiply
    135,958.50x = 314,700.19 × 314,700.19
  4. Step 4: Simplify right side
    135,958.50x = 99,036,208,012.54
  5. Step 5: Solve for x
    x = 99,036,208,012.54/135,958.50
  6. Step 6: Final answer
    x = 728,429.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.