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Finding the Third Proportional to 257,652 and 408,871

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Solution

The third proportional to 257,652 and 408,871 is: 648,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,652 : 408,871 = 408,871 : x
  2. Step 2: Convert to fraction form
    257,652/408,871 = 408,871/x
  3. Step 3: Cross multiply
    257,652x = 408,871 × 408,871
  4. Step 4: Simplify right side
    257,652x = 167,175,494,641
  5. Step 5: Solve for x
    x = 167,175,494,641/257,652
  6. Step 6: Final answer
    x = 648,842.22

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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.