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Finding the Third Proportional to 68,841 and 145,939.50

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Solution

The third proportional to 68,841 and 145,939.50 is: 309,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,841 : 145,939.50 = 145,939.50 : x
  2. Step 2: Convert to fraction form
    68,841/145,939.50 = 145,939.50/x
  3. Step 3: Cross multiply
    68,841x = 145,939.50 × 145,939.50
  4. Step 4: Simplify right side
    68,841x = 21,298,337,660.25
  5. Step 5: Solve for x
    x = 21,298,337,660.25/68,841
  6. Step 6: Final answer
    x = 309,384.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.