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Finding the Third Proportional to 88,136 and 193,768

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Solution

The third proportional to 88,136 and 193,768 is: 426,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,136 : 193,768 = 193,768 : x
  2. Step 2: Convert to fraction form
    88,136/193,768 = 193,768/x
  3. Step 3: Cross multiply
    88,136x = 193,768 × 193,768
  4. Step 4: Simplify right side
    88,136x = 37,546,037,824
  5. Step 5: Solve for x
    x = 37,546,037,824/88,136
  6. Step 6: Final answer
    x = 426,001.16

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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.