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Finding the Third Proportional to 199,314 and 268,518

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Solution

The third proportional to 199,314 and 268,518 is: 361,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,314 : 268,518 = 268,518 : x
  2. Step 2: Convert to fraction form
    199,314/268,518 = 268,518/x
  3. Step 3: Cross multiply
    199,314x = 268,518 × 268,518
  4. Step 4: Simplify right side
    199,314x = 72,101,916,324
  5. Step 5: Solve for x
    x = 72,101,916,324/199,314
  6. Step 6: Final answer
    x = 361,750.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.