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Finding the Third Proportional to 202,908.94 and 315,415.69

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Solution

The third proportional to 202,908.94 and 315,415.69 is: 490,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,908.94 : 315,415.69 = 315,415.69 : x
  2. Step 2: Convert to fraction form
    202,908.94/315,415.69 = 315,415.69/x
  3. Step 3: Cross multiply
    202,908.94x = 315,415.69 × 315,415.69
  4. Step 4: Simplify right side
    202,908.94x = 99,487,055,921.10
  5. Step 5: Solve for x
    x = 99,487,055,921.10/202,908.94
  6. Step 6: Final answer
    x = 490,303.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.