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Finding the Third Proportional to 828,869 and 1,238,185

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Solution

The third proportional to 828,869 and 1,238,185 is: 1,849,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,869 : 1,238,185 = 1,238,185 : x
  2. Step 2: Convert to fraction form
    828,869/1,238,185 = 1,238,185/x
  3. Step 3: Cross multiply
    828,869x = 1,238,185 × 1,238,185
  4. Step 4: Simplify right side
    828,869x = 1,533,102,094,225
  5. Step 5: Solve for x
    x = 1,533,102,094,225/828,869
  6. Step 6: Final answer
    x = 1,849,631.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.