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Finding the Third Proportional to 127,036 and 279,136

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Solution

The third proportional to 127,036 and 279,136 is: 613,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,036 : 279,136 = 279,136 : x
  2. Step 2: Convert to fraction form
    127,036/279,136 = 279,136/x
  3. Step 3: Cross multiply
    127,036x = 279,136 × 279,136
  4. Step 4: Simplify right side
    127,036x = 77,916,906,496
  5. Step 5: Solve for x
    x = 77,916,906,496/127,036
  6. Step 6: Final answer
    x = 613,345.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.