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Finding the Third Proportional to 72,407 and 107,481.50

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Solution

The third proportional to 72,407 and 107,481.50 is: 159,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,407 : 107,481.50 = 107,481.50 : x
  2. Step 2: Convert to fraction form
    72,407/107,481.50 = 107,481.50/x
  3. Step 3: Cross multiply
    72,407x = 107,481.50 × 107,481.50
  4. Step 4: Simplify right side
    72,407x = 11,552,272,842.25
  5. Step 5: Solve for x
    x = 11,552,272,842.25/72,407
  6. Step 6: Final answer
    x = 159,546.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.