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Finding the Third Proportional to 152,820 and 199,692

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Solution

The third proportional to 152,820 and 199,692 is: 260,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,820 : 199,692 = 199,692 : x
  2. Step 2: Convert to fraction form
    152,820/199,692 = 199,692/x
  3. Step 3: Cross multiply
    152,820x = 199,692 × 199,692
  4. Step 4: Simplify right side
    152,820x = 39,876,894,864
  5. Step 5: Solve for x
    x = 39,876,894,864/152,820
  6. Step 6: Final answer
    x = 260,940.29

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.