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Finding the Third Proportional to 185,278 and 399,136

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Solution

The third proportional to 185,278 and 399,136 is: 859,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,278 : 399,136 = 399,136 : x
  2. Step 2: Convert to fraction form
    185,278/399,136 = 399,136/x
  3. Step 3: Cross multiply
    185,278x = 399,136 × 399,136
  4. Step 4: Simplify right side
    185,278x = 159,309,546,496
  5. Step 5: Solve for x
    x = 159,309,546,496/185,278
  6. Step 6: Final answer
    x = 859,840.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.