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Finding the Third Proportional to 361,545.75 and 690,286.50

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Solution

The third proportional to 361,545.75 and 690,286.50 is: 1,317,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,545.75 : 690,286.50 = 690,286.50 : x
  2. Step 2: Convert to fraction form
    361,545.75/690,286.50 = 690,286.50/x
  3. Step 3: Cross multiply
    361,545.75x = 690,286.50 × 690,286.50
  4. Step 4: Simplify right side
    361,545.75x = 476,495,452,082.25
  5. Step 5: Solve for x
    x = 476,495,452,082.25/361,545.75
  6. Step 6: Final answer
    x = 1,317,939.57

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.