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Finding the Third Proportional to 121,623.75 and 266,157

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Solution

The third proportional to 121,623.75 and 266,157 is: 582,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,623.75 : 266,157 = 266,157 : x
  2. Step 2: Convert to fraction form
    121,623.75/266,157 = 266,157/x
  3. Step 3: Cross multiply
    121,623.75x = 266,157 × 266,157
  4. Step 4: Simplify right side
    121,623.75x = 70,839,548,649
  5. Step 5: Solve for x
    x = 70,839,548,649/121,623.75
  6. Step 6: Final answer
    x = 582,448.32

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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.