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Finding the Third Proportional to 389,816 and 583,131

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Solution

The third proportional to 389,816 and 583,131 is: 872,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,816 : 583,131 = 583,131 : x
  2. Step 2: Convert to fraction form
    389,816/583,131 = 583,131/x
  3. Step 3: Cross multiply
    389,816x = 583,131 × 583,131
  4. Step 4: Simplify right side
    389,816x = 340,041,763,161
  5. Step 5: Solve for x
    x = 340,041,763,161/389,816
  6. Step 6: Final answer
    x = 872,313.51

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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.