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Finding the Third Proportional to 216,394.50 and 302,661

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Solution

The third proportional to 216,394.50 and 302,661 is: 423,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,394.50 : 302,661 = 302,661 : x
  2. Step 2: Convert to fraction form
    216,394.50/302,661 = 302,661/x
  3. Step 3: Cross multiply
    216,394.50x = 302,661 × 302,661
  4. Step 4: Simplify right side
    216,394.50x = 91,603,680,921
  5. Step 5: Solve for x
    x = 91,603,680,921/216,394.50
  6. Step 6: Final answer
    x = 423,317.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.