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Finding the Third Proportional to 404,988 and 643,652

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Solution

The third proportional to 404,988 and 643,652 is: 1,022,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,988 : 643,652 = 643,652 : x
  2. Step 2: Convert to fraction form
    404,988/643,652 = 643,652/x
  3. Step 3: Cross multiply
    404,988x = 643,652 × 643,652
  4. Step 4: Simplify right side
    404,988x = 414,287,897,104
  5. Step 5: Solve for x
    x = 414,287,897,104/404,988
  6. Step 6: Final answer
    x = 1,022,963.39

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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.