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Finding the Third Proportional to 73,510.13 and 159,467.25

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Solution

The third proportional to 73,510.13 and 159,467.25 is: 345,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,510.13 : 159,467.25 = 159,467.25 : x
  2. Step 2: Convert to fraction form
    73,510.13/159,467.25 = 159,467.25/x
  3. Step 3: Cross multiply
    73,510.13x = 159,467.25 × 159,467.25
  4. Step 4: Simplify right side
    73,510.13x = 25,429,803,822.56
  5. Step 5: Solve for x
    x = 25,429,803,822.56/73,510.13
  6. Step 6: Final answer
    x = 345,936.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.