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Finding the Third Proportional to 199,404 and 306,496

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Solution

The third proportional to 199,404 and 306,496 is: 471,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,404 : 306,496 = 306,496 : x
  2. Step 2: Convert to fraction form
    199,404/306,496 = 306,496/x
  3. Step 3: Cross multiply
    199,404x = 306,496 × 306,496
  4. Step 4: Simplify right side
    199,404x = 93,939,798,016
  5. Step 5: Solve for x
    x = 93,939,798,016/199,404
  6. Step 6: Final answer
    x = 471,102.88

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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.