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Finding the Third Proportional to 102,009 and 153,405

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Solution

The third proportional to 102,009 and 153,405 is: 230,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,009 : 153,405 = 153,405 : x
  2. Step 2: Convert to fraction form
    102,009/153,405 = 153,405/x
  3. Step 3: Cross multiply
    102,009x = 153,405 × 153,405
  4. Step 4: Simplify right side
    102,009x = 23,533,094,025
  5. Step 5: Solve for x
    x = 23,533,094,025/102,009
  6. Step 6: Final answer
    x = 230,696.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.