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Finding the Third Proportional to 313,059.94 and 354,066.19

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Solution

The third proportional to 313,059.94 and 354,066.19 is: 400,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,059.94 : 354,066.19 = 354,066.19 : x
  2. Step 2: Convert to fraction form
    313,059.94/354,066.19 = 354,066.19/x
  3. Step 3: Cross multiply
    313,059.94x = 354,066.19 × 354,066.19
  4. Step 4: Simplify right side
    313,059.94x = 125,362,865,130.79
  5. Step 5: Solve for x
    x = 125,362,865,130.79/313,059.94
  6. Step 6: Final answer
    x = 400,443.65

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.