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Finding the Third Proportional to 181,784 and 380,270

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Solution

The third proportional to 181,784 and 380,270 is: 795,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,784 : 380,270 = 380,270 : x
  2. Step 2: Convert to fraction form
    181,784/380,270 = 380,270/x
  3. Step 3: Cross multiply
    181,784x = 380,270 × 380,270
  4. Step 4: Simplify right side
    181,784x = 144,605,272,900
  5. Step 5: Solve for x
    x = 144,605,272,900/181,784
  6. Step 6: Final answer
    x = 795,478.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.