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Finding the Third Proportional to 414,150,347.25 and 920,236,221

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Solution

The third proportional to 414,150,347.25 and 920,236,221 is: 2,044,751,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,150,347.25 : 920,236,221 = 920,236,221 : x
  2. Step 2: Convert to fraction form
    414,150,347.25/920,236,221 = 920,236,221/x
  3. Step 3: Cross multiply
    414,150,347.25x = 920,236,221 × 920,236,221
  4. Step 4: Simplify right side
    414,150,347.25x = 846,834,702,440,360,832
  5. Step 5: Solve for x
    x = 846,834,702,440,360,832/414,150,347.25
  6. Step 6: Final answer
    x = 2,044,751,883.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.