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Finding the Third Proportional to 389,963 and 846,589

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Solution

The third proportional to 389,963 and 846,589 is: 1,837,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,963 : 846,589 = 846,589 : x
  2. Step 2: Convert to fraction form
    389,963/846,589 = 846,589/x
  3. Step 3: Cross multiply
    389,963x = 846,589 × 846,589
  4. Step 4: Simplify right side
    389,963x = 716,712,934,921
  5. Step 5: Solve for x
    x = 716,712,934,921/389,963
  6. Step 6: Final answer
    x = 1,837,899.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.