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Finding the Third Proportional to 117,136 and 256,844

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Solution

The third proportional to 117,136 and 256,844 is: 563,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,136 : 256,844 = 256,844 : x
  2. Step 2: Convert to fraction form
    117,136/256,844 = 256,844/x
  3. Step 3: Cross multiply
    117,136x = 256,844 × 256,844
  4. Step 4: Simplify right side
    117,136x = 65,968,840,336
  5. Step 5: Solve for x
    x = 65,968,840,336/117,136
  6. Step 6: Final answer
    x = 563,181.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.