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Finding the Third Proportional to 204,394,020,030 and 447,319,402,020

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Solution

The third proportional to 204,394,020,030 and 447,319,402,020 is: 978,965,272,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,394,020,030 : 447,319,402,020 = 447,319,402,020 : x
  2. Step 2: Convert to fraction form
    204,394,020,030/447,319,402,020 = 447,319,402,020/x
  3. Step 3: Cross multiply
    204,394,020,030x = 447,319,402,020 × 447,319,402,020
  4. Step 4: Simplify right side
    204,394,020,030x = 200,094,647,423,530,392,616,960
  5. Step 5: Solve for x
    x = 200,094,647,423,530,392,616,960/204,394,020,030
  6. Step 6: Final answer
    x = 978,965,272,047.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.