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Finding the Third Proportional to 131,724 and 203,768

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Solution

The third proportional to 131,724 and 203,768 is: 315,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,724 : 203,768 = 203,768 : x
  2. Step 2: Convert to fraction form
    131,724/203,768 = 203,768/x
  3. Step 3: Cross multiply
    131,724x = 203,768 × 203,768
  4. Step 4: Simplify right side
    131,724x = 41,521,397,824
  5. Step 5: Solve for x
    x = 41,521,397,824/131,724
  6. Step 6: Final answer
    x = 315,215.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.