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Finding the Third Proportional to 191,433.38 and 281,621.81

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Solution

The third proportional to 191,433.38 and 281,621.81 is: 414,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,433.38 : 281,621.81 = 281,621.81 : x
  2. Step 2: Convert to fraction form
    191,433.38/281,621.81 = 281,621.81/x
  3. Step 3: Cross multiply
    191,433.38x = 281,621.81 × 281,621.81
  4. Step 4: Simplify right side
    191,433.38x = 79,310,845,275.79
  5. Step 5: Solve for x
    x = 79,310,845,275.79/191,433.38
  6. Step 6: Final answer
    x = 414,299.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.