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Finding the Third Proportional to 202,808.34 and 315,274.69

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Solution

The third proportional to 202,808.34 and 315,274.69 is: 490,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,808.34 : 315,274.69 = 315,274.69 : x
  2. Step 2: Convert to fraction form
    202,808.34/315,274.69 = 315,274.69/x
  3. Step 3: Cross multiply
    202,808.34x = 315,274.69 × 315,274.69
  4. Step 4: Simplify right side
    202,808.34x = 99,398,128,578.22
  5. Step 5: Solve for x
    x = 99,398,128,578.22/202,808.34
  6. Step 6: Final answer
    x = 490,108.67

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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.