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Finding the Third Proportional to 100,608 and 153,984

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Solution

The third proportional to 100,608 and 153,984 is: 235,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,608 : 153,984 = 153,984 : x
  2. Step 2: Convert to fraction form
    100,608/153,984 = 153,984/x
  3. Step 3: Cross multiply
    100,608x = 153,984 × 153,984
  4. Step 4: Simplify right side
    100,608x = 23,711,072,256
  5. Step 5: Solve for x
    x = 23,711,072,256/100,608
  6. Step 6: Final answer
    x = 235,677.80

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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.