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Finding the Third Proportional to 121,644 and 179,136

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Solution

The third proportional to 121,644 and 179,136 is: 263,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,644 : 179,136 = 179,136 : x
  2. Step 2: Convert to fraction form
    121,644/179,136 = 179,136/x
  3. Step 3: Cross multiply
    121,644x = 179,136 × 179,136
  4. Step 4: Simplify right side
    121,644x = 32,089,706,496
  5. Step 5: Solve for x
    x = 32,089,706,496/121,644
  6. Step 6: Final answer
    x = 263,800.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.