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Finding the Third Proportional to 68,009 and 102,013.75

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Solution

The third proportional to 68,009 and 102,013.75 is: 153,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,009 : 102,013.75 = 102,013.75 : x
  2. Step 2: Convert to fraction form
    68,009/102,013.75 = 102,013.75/x
  3. Step 3: Cross multiply
    68,009x = 102,013.75 × 102,013.75
  4. Step 4: Simplify right side
    68,009x = 10,406,805,189.06
  5. Step 5: Solve for x
    x = 10,406,805,189.06/68,009
  6. Step 6: Final answer
    x = 153,021.00

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Why These Related Problems?

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