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Finding the Third Proportional to 100,478.25 and 159,942.38

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Solution

The third proportional to 100,478.25 and 159,942.38 is: 254,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,478.25 : 159,942.38 = 159,942.38 : x
  2. Step 2: Convert to fraction form
    100,478.25/159,942.38 = 159,942.38/x
  3. Step 3: Cross multiply
    100,478.25x = 159,942.38 × 159,942.38
  4. Step 4: Simplify right side
    100,478.25x = 25,581,563,320.64
  5. Step 5: Solve for x
    x = 25,581,563,320.64/100,478.25
  6. Step 6: Final answer
    x = 254,598.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.