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Finding the Third Proportional to 354,990 and 536,181

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Solution

The third proportional to 354,990 and 536,181 is: 809,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,990 : 536,181 = 536,181 : x
  2. Step 2: Convert to fraction form
    354,990/536,181 = 536,181/x
  3. Step 3: Cross multiply
    354,990x = 536,181 × 536,181
  4. Step 4: Simplify right side
    354,990x = 287,490,064,761
  5. Step 5: Solve for x
    x = 287,490,064,761/354,990
  6. Step 6: Final answer
    x = 809,853.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.