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Finding the Third Proportional to 181,080 and 266,157

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Solution

The third proportional to 181,080 and 266,157 is: 391,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,080 : 266,157 = 266,157 : x
  2. Step 2: Convert to fraction form
    181,080/266,157 = 266,157/x
  3. Step 3: Cross multiply
    181,080x = 266,157 × 266,157
  4. Step 4: Simplify right side
    181,080x = 70,839,548,649
  5. Step 5: Solve for x
    x = 70,839,548,649/181,080
  6. Step 6: Final answer
    x = 391,205.81

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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.