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Finding the Third Proportional to 131,808 and 199,560

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Solution

The third proportional to 131,808 and 199,560 is: 302,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,808 : 199,560 = 199,560 : x
  2. Step 2: Convert to fraction form
    131,808/199,560 = 199,560/x
  3. Step 3: Cross multiply
    131,808x = 199,560 × 199,560
  4. Step 4: Simplify right side
    131,808x = 39,824,193,600
  5. Step 5: Solve for x
    x = 39,824,193,600/131,808
  6. Step 6: Final answer
    x = 302,137.91

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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.