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Finding the Third Proportional to 389,619.50 and 527,981

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Solution

The third proportional to 389,619.50 and 527,981 is: 715,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,619.50 : 527,981 = 527,981 : x
  2. Step 2: Convert to fraction form
    389,619.50/527,981 = 527,981/x
  3. Step 3: Cross multiply
    389,619.50x = 527,981 × 527,981
  4. Step 4: Simplify right side
    389,619.50x = 278,763,936,361
  5. Step 5: Solve for x
    x = 278,763,936,361/389,619.50
  6. Step 6: Final answer
    x = 715,477.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.