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Finding the Third Proportional to 103,520 and 151,999

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Solution

The third proportional to 103,520 and 151,999 is: 223,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,520 : 151,999 = 151,999 : x
  2. Step 2: Convert to fraction form
    103,520/151,999 = 151,999/x
  3. Step 3: Cross multiply
    103,520x = 151,999 × 151,999
  4. Step 4: Simplify right side
    103,520x = 23,103,696,001
  5. Step 5: Solve for x
    x = 23,103,696,001/103,520
  6. Step 6: Final answer
    x = 223,180.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.