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Finding the Third Proportional to 199,620 and 307,692

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Solution

The third proportional to 199,620 and 307,692 is: 474,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,620 : 307,692 = 307,692 : x
  2. Step 2: Convert to fraction form
    199,620/307,692 = 307,692/x
  3. Step 3: Cross multiply
    199,620x = 307,692 × 307,692
  4. Step 4: Simplify right side
    199,620x = 94,674,366,864
  5. Step 5: Solve for x
    x = 94,674,366,864/199,620
  6. Step 6: Final answer
    x = 474,272.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.