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Finding the Third Proportional to 203,082.19 and 315,725.34

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Solution

The third proportional to 203,082.19 and 315,725.34 is: 490,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,082.19 : 315,725.34 = 315,725.34 : x
  2. Step 2: Convert to fraction form
    203,082.19/315,725.34 = 315,725.34/x
  3. Step 3: Cross multiply
    203,082.19x = 315,725.34 × 315,725.34
  4. Step 4: Simplify right side
    203,082.19x = 99,682,492,686.06
  5. Step 5: Solve for x
    x = 99,682,492,686.06/203,082.19
  6. Step 6: Final answer
    x = 490,848.04

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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.