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Finding the Third Proportional to 195,136 and 405,580

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Solution

The third proportional to 195,136 and 405,580 is: 842,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,136 : 405,580 = 405,580 : x
  2. Step 2: Convert to fraction form
    195,136/405,580 = 405,580/x
  3. Step 3: Cross multiply
    195,136x = 405,580 × 405,580
  4. Step 4: Simplify right side
    195,136x = 164,495,136,400
  5. Step 5: Solve for x
    x = 164,495,136,400/195,136
  6. Step 6: Final answer
    x = 842,976.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.