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Finding the Third Proportional to 389,839 and 583,173

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Solution

The third proportional to 389,839 and 583,173 is: 872,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,839 : 583,173 = 583,173 : x
  2. Step 2: Convert to fraction form
    389,839/583,173 = 583,173/x
  3. Step 3: Cross multiply
    389,839x = 583,173 × 583,173
  4. Step 4: Simplify right side
    389,839x = 340,090,747,929
  5. Step 5: Solve for x
    x = 340,090,747,929/389,839
  6. Step 6: Final answer
    x = 872,387.70

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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.