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Finding the Third Proportional to 181,210 and 261,015

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Solution

The third proportional to 181,210 and 261,015 is: 375,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,210 : 261,015 = 261,015 : x
  2. Step 2: Convert to fraction form
    181,210/261,015 = 261,015/x
  3. Step 3: Cross multiply
    181,210x = 261,015 × 261,015
  4. Step 4: Simplify right side
    181,210x = 68,128,830,225
  5. Step 5: Solve for x
    x = 68,128,830,225/181,210
  6. Step 6: Final answer
    x = 375,966.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.