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Finding the Third Proportional to 389,859 and 587,668.50

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Solution

The third proportional to 389,859 and 587,668.50 is: 885,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,859 : 587,668.50 = 587,668.50 : x
  2. Step 2: Convert to fraction form
    389,859/587,668.50 = 587,668.50/x
  3. Step 3: Cross multiply
    389,859x = 587,668.50 × 587,668.50
  4. Step 4: Simplify right side
    389,859x = 345,354,265,892.25
  5. Step 5: Solve for x
    x = 345,354,265,892.25/389,859
  6. Step 6: Final answer
    x = 885,844.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.