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Finding the Third Proportional to 72,372.23 and 149,676.61

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Solution

The third proportional to 72,372.23 and 149,676.61 is: 309,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,372.23 : 149,676.61 = 149,676.61 : x
  2. Step 2: Convert to fraction form
    72,372.23/149,676.61 = 149,676.61/x
  3. Step 3: Cross multiply
    72,372.23x = 149,676.61 × 149,676.61
  4. Step 4: Simplify right side
    72,372.23x = 22,403,087,394.00
  5. Step 5: Solve for x
    x = 22,403,087,394.00/72,372.23
  6. Step 6: Final answer
    x = 309,553.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.