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Finding the Third Proportional to 199,390.69 and 306,477.84

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Solution

The third proportional to 199,390.69 and 306,477.84 is: 471,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,390.69 : 306,477.84 = 306,477.84 : x
  2. Step 2: Convert to fraction form
    199,390.69/306,477.84 = 306,477.84/x
  3. Step 3: Cross multiply
    199,390.69x = 306,477.84 × 306,477.84
  4. Step 4: Simplify right side
    199,390.69x = 93,928,668,709.65
  5. Step 5: Solve for x
    x = 93,928,668,709.65/199,390.69
  6. Step 6: Final answer
    x = 471,078.51

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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.