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Finding the Third Proportional to 74,371.50 and 145,005

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Solution

The third proportional to 74,371.50 and 145,005 is: 282,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,371.50 : 145,005 = 145,005 : x
  2. Step 2: Convert to fraction form
    74,371.50/145,005 = 145,005/x
  3. Step 3: Cross multiply
    74,371.50x = 145,005 × 145,005
  4. Step 4: Simplify right side
    74,371.50x = 21,026,450,025
  5. Step 5: Solve for x
    x = 21,026,450,025/74,371.50
  6. Step 6: Final answer
    x = 282,721.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.