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Finding the Third Proportional to 102,720 and 157,668

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Solution

The third proportional to 102,720 and 157,668 is: 242,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,720 : 157,668 = 157,668 : x
  2. Step 2: Convert to fraction form
    102,720/157,668 = 157,668/x
  3. Step 3: Cross multiply
    102,720x = 157,668 × 157,668
  4. Step 4: Simplify right side
    102,720x = 24,859,198,224
  5. Step 5: Solve for x
    x = 24,859,198,224/102,720
  6. Step 6: Final answer
    x = 242,009.33

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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.