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Finding the Third Proportional to 98,846,302 and 205,873,941

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Solution

The third proportional to 98,846,302 and 205,873,941 is: 428,787,711.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,846,302 : 205,873,941 = 205,873,941 : x
  2. Step 2: Convert to fraction form
    98,846,302/205,873,941 = 205,873,941/x
  3. Step 3: Cross multiply
    98,846,302x = 205,873,941 × 205,873,941
  4. Step 4: Simplify right side
    98,846,302x = 42,384,079,582,871,480
  5. Step 5: Solve for x
    x = 42,384,079,582,871,480/98,846,302
  6. Step 6: Final answer
    x = 428,787,711.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.