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Finding the Third Proportional to 302,859 and 440,194.50

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Solution

The third proportional to 302,859 and 440,194.50 is: 639,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,859 : 440,194.50 = 440,194.50 : x
  2. Step 2: Convert to fraction form
    302,859/440,194.50 = 440,194.50/x
  3. Step 3: Cross multiply
    302,859x = 440,194.50 × 440,194.50
  4. Step 4: Simplify right side
    302,859x = 193,771,197,830.25
  5. Step 5: Solve for x
    x = 193,771,197,830.25/302,859
  6. Step 6: Final answer
    x = 639,806.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.