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Finding the Third Proportional to 204,768,081 and 442,262,065.50

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Solution

The third proportional to 204,768,081 and 442,262,065.50 is: 955,206,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,768,081 : 442,262,065.50 = 442,262,065.50 : x
  2. Step 2: Convert to fraction form
    204,768,081/442,262,065.50 = 442,262,065.50/x
  3. Step 3: Cross multiply
    204,768,081x = 442,262,065.50 × 442,262,065.50
  4. Step 4: Simplify right side
    204,768,081x = 195,595,734,580,326,304
  5. Step 5: Solve for x
    x = 195,595,734,580,326,304/204,768,081
  6. Step 6: Final answer
    x = 955,206,170.93

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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.