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Finding the Third Proportional to 389,820 and 583,137

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Solution

The third proportional to 389,820 and 583,137 is: 872,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,820 : 583,137 = 583,137 : x
  2. Step 2: Convert to fraction form
    389,820/583,137 = 583,137/x
  3. Step 3: Cross multiply
    389,820x = 583,137 × 583,137
  4. Step 4: Simplify right side
    389,820x = 340,048,760,769
  5. Step 5: Solve for x
    x = 340,048,760,769/389,820
  6. Step 6: Final answer
    x = 872,322.51

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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.