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Finding the Third Proportional to 207,778 and 451,988

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Solution

The third proportional to 207,778 and 451,988 is: 983,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,778 : 451,988 = 451,988 : x
  2. Step 2: Convert to fraction form
    207,778/451,988 = 451,988/x
  3. Step 3: Cross multiply
    207,778x = 451,988 × 451,988
  4. Step 4: Simplify right side
    207,778x = 204,293,152,144
  5. Step 5: Solve for x
    x = 204,293,152,144/207,778
  6. Step 6: Final answer
    x = 983,228.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.