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Finding the Third Proportional to 115,096 and 172,136

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Solution

The third proportional to 115,096 and 172,136 is: 257,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,096 : 172,136 = 172,136 : x
  2. Step 2: Convert to fraction form
    115,096/172,136 = 172,136/x
  3. Step 3: Cross multiply
    115,096x = 172,136 × 172,136
  4. Step 4: Simplify right side
    115,096x = 29,630,802,496
  5. Step 5: Solve for x
    x = 29,630,802,496/115,096
  6. Step 6: Final answer
    x = 257,444.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.