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Finding the Third Proportional to 181,772 and 277,579

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Solution

The third proportional to 181,772 and 277,579 is: 423,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,772 : 277,579 = 277,579 : x
  2. Step 2: Convert to fraction form
    181,772/277,579 = 277,579/x
  3. Step 3: Cross multiply
    181,772x = 277,579 × 277,579
  4. Step 4: Simplify right side
    181,772x = 77,050,101,241
  5. Step 5: Solve for x
    x = 77,050,101,241/181,772
  6. Step 6: Final answer
    x = 423,883.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.