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Finding the Third Proportional to 643,869 and 1,024,906

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Solution

The third proportional to 643,869 and 1,024,906 is: 1,631,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,869 : 1,024,906 = 1,024,906 : x
  2. Step 2: Convert to fraction form
    643,869/1,024,906 = 1,024,906/x
  3. Step 3: Cross multiply
    643,869x = 1,024,906 × 1,024,906
  4. Step 4: Simplify right side
    643,869x = 1,050,432,308,836
  5. Step 5: Solve for x
    x = 1,050,432,308,836/643,869
  6. Step 6: Final answer
    x = 1,631,437.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.