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Finding the Third Proportional to 199,482 and 430,668

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Solution

The third proportional to 199,482 and 430,668 is: 929,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,482 : 430,668 = 430,668 : x
  2. Step 2: Convert to fraction form
    199,482/430,668 = 430,668/x
  3. Step 3: Cross multiply
    199,482x = 430,668 × 430,668
  4. Step 4: Simplify right side
    199,482x = 185,474,926,224
  5. Step 5: Solve for x
    x = 185,474,926,224/199,482
  6. Step 6: Final answer
    x = 929,782.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.