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Finding the Third Proportional to 180,639 and 281,298.38

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Solution

The third proportional to 180,639 and 281,298.38 is: 438,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,639 : 281,298.38 = 281,298.38 : x
  2. Step 2: Convert to fraction form
    180,639/281,298.38 = 281,298.38/x
  3. Step 3: Cross multiply
    180,639x = 281,298.38 × 281,298.38
  4. Step 4: Simplify right side
    180,639x = 79,128,775,777.64
  5. Step 5: Solve for x
    x = 79,128,775,777.64/180,639
  6. Step 6: Final answer
    x = 438,049.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.