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Finding the Third Proportional to 643,586 and 874,063

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Solution

The third proportional to 643,586 and 874,063 is: 1,187,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,586 : 874,063 = 874,063 : x
  2. Step 2: Convert to fraction form
    643,586/874,063 = 874,063/x
  3. Step 3: Cross multiply
    643,586x = 874,063 × 874,063
  4. Step 4: Simplify right side
    643,586x = 763,986,127,969
  5. Step 5: Solve for x
    x = 763,986,127,969/643,586
  6. Step 6: Final answer
    x = 1,187,076.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.