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Finding the Third Proportional to 518,338 and 846,399

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Solution

The third proportional to 518,338 and 846,399 is: 1,382,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,338 : 846,399 = 846,399 : x
  2. Step 2: Convert to fraction form
    518,338/846,399 = 846,399/x
  3. Step 3: Cross multiply
    518,338x = 846,399 × 846,399
  4. Step 4: Simplify right side
    518,338x = 716,391,267,201
  5. Step 5: Solve for x
    x = 716,391,267,201/518,338
  6. Step 6: Final answer
    x = 1,382,092.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.