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Finding the Third Proportional to 310,914.56 and 480,114.84

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Solution

The third proportional to 310,914.56 and 480,114.84 is: 741,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,914.56 : 480,114.84 = 480,114.84 : x
  2. Step 2: Convert to fraction form
    310,914.56/480,114.84 = 480,114.84/x
  3. Step 3: Cross multiply
    310,914.56x = 480,114.84 × 480,114.84
  4. Step 4: Simplify right side
    310,914.56x = 230,510,263,189.09
  5. Step 5: Solve for x
    x = 230,510,263,189.09/310,914.56
  6. Step 6: Final answer
    x = 741,394.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.