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Finding the Third Proportional to 45,009 and 72,501.19

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Solution

The third proportional to 45,009 and 72,501.19 is: 116,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,009 : 72,501.19 = 72,501.19 : x
  2. Step 2: Convert to fraction form
    45,009/72,501.19 = 72,501.19/x
  3. Step 3: Cross multiply
    45,009x = 72,501.19 × 72,501.19
  4. Step 4: Simplify right side
    45,009x = 5,256,422,188.91
  5. Step 5: Solve for x
    x = 5,256,422,188.91/45,009
  6. Step 6: Final answer
    x = 116,786.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.