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Finding the Third Proportional to 71,724 and 153,296

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Solution

The third proportional to 71,724 and 153,296 is: 327,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724 : 153,296 = 153,296 : x
  2. Step 2: Convert to fraction form
    71,724/153,296 = 153,296/x
  3. Step 3: Cross multiply
    71,724x = 153,296 × 153,296
  4. Step 4: Simplify right side
    71,724x = 23,499,663,616
  5. Step 5: Solve for x
    x = 23,499,663,616/71,724
  6. Step 6: Final answer
    x = 327,640.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.