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Finding the Third Proportional to 302,679 and 454,735

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Solution

The third proportional to 302,679 and 454,735 is: 683,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,679 : 454,735 = 454,735 : x
  2. Step 2: Convert to fraction form
    302,679/454,735 = 454,735/x
  3. Step 3: Cross multiply
    302,679x = 454,735 × 454,735
  4. Step 4: Simplify right side
    302,679x = 206,783,920,225
  5. Step 5: Solve for x
    x = 206,783,920,225/302,679
  6. Step 6: Final answer
    x = 683,178.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.