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Finding the Third Proportional to 302,194.50 and 408,912

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Solution

The third proportional to 302,194.50 and 408,912 is: 553,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,194.50 : 408,912 = 408,912 : x
  2. Step 2: Convert to fraction form
    302,194.50/408,912 = 408,912/x
  3. Step 3: Cross multiply
    302,194.50x = 408,912 × 408,912
  4. Step 4: Simplify right side
    302,194.50x = 167,209,023,744
  5. Step 5: Solve for x
    x = 167,209,023,744/302,194.50
  6. Step 6: Final answer
    x = 553,315.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.