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Finding the Third Proportional to 73,410 and 159,940.50

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Solution

The third proportional to 73,410 and 159,940.50 is: 348,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,410 : 159,940.50 = 159,940.50 : x
  2. Step 2: Convert to fraction form
    73,410/159,940.50 = 159,940.50/x
  3. Step 3: Cross multiply
    73,410x = 159,940.50 × 159,940.50
  4. Step 4: Simplify right side
    73,410x = 25,580,963,540.25
  5. Step 5: Solve for x
    x = 25,580,963,540.25/73,410
  6. Step 6: Final answer
    x = 348,467.01

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