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Finding the Third Proportional to 73,025 and 159,566.50

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Solution

The third proportional to 73,025 and 159,566.50 is: 348,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,025 : 159,566.50 = 159,566.50 : x
  2. Step 2: Convert to fraction form
    73,025/159,566.50 = 159,566.50/x
  3. Step 3: Cross multiply
    73,025x = 159,566.50 × 159,566.50
  4. Step 4: Simplify right side
    73,025x = 25,461,467,922.25
  5. Step 5: Solve for x
    x = 25,461,467,922.25/73,025
  6. Step 6: Final answer
    x = 348,667.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.