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Finding the Third Proportional to 405,866 and 646,383

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Solution

The third proportional to 405,866 and 646,383 is: 1,029,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,866 : 646,383 = 646,383 : x
  2. Step 2: Convert to fraction form
    405,866/646,383 = 646,383/x
  3. Step 3: Cross multiply
    405,866x = 646,383 × 646,383
  4. Step 4: Simplify right side
    405,866x = 417,810,982,689
  5. Step 5: Solve for x
    x = 417,810,982,689/405,866
  6. Step 6: Final answer
    x = 1,029,430.85

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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.