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Finding the Third Proportional to 81,607.50 and 178,159.50

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Solution

The third proportional to 81,607.50 and 178,159.50 is: 388,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,607.50 : 178,159.50 = 178,159.50 : x
  2. Step 2: Convert to fraction form
    81,607.50/178,159.50 = 178,159.50/x
  3. Step 3: Cross multiply
    81,607.50x = 178,159.50 × 178,159.50
  4. Step 4: Simplify right side
    81,607.50x = 31,740,807,440.25
  5. Step 5: Solve for x
    x = 31,740,807,440.25/81,607.50
  6. Step 6: Final answer
    x = 388,944.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.