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Finding the Third Proportional to 72,220.50 and 161,037.50

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Solution

The third proportional to 72,220.50 and 161,037.50 is: 359,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,220.50 : 161,037.50 = 161,037.50 : x
  2. Step 2: Convert to fraction form
    72,220.50/161,037.50 = 161,037.50/x
  3. Step 3: Cross multiply
    72,220.50x = 161,037.50 × 161,037.50
  4. Step 4: Simplify right side
    72,220.50x = 25,933,076,406.25
  5. Step 5: Solve for x
    x = 25,933,076,406.25/72,220.50
  6. Step 6: Final answer
    x = 359,081.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.