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Finding the Third Proportional to 310,212,804 and 672,124,221

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Solution

The third proportional to 310,212,804 and 672,124,221 is: 1,456,261,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,212,804 : 672,124,221 = 672,124,221 : x
  2. Step 2: Convert to fraction form
    310,212,804/672,124,221 = 672,124,221/x
  3. Step 3: Cross multiply
    310,212,804x = 672,124,221 × 672,124,221
  4. Step 4: Simplify right side
    310,212,804x = 451,750,968,454,856,832
  5. Step 5: Solve for x
    x = 451,750,968,454,856,832/310,212,804
  6. Step 6: Final answer
    x = 1,456,261,516.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.