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Finding the Third Proportional to 318,891.38 and 493,741.13

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Solution

The third proportional to 318,891.38 and 493,741.13 is: 764,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,891.38 : 493,741.13 = 493,741.13 : x
  2. Step 2: Convert to fraction form
    318,891.38/493,741.13 = 493,741.13/x
  3. Step 3: Cross multiply
    318,891.38x = 493,741.13 × 493,741.13
  4. Step 4: Simplify right side
    318,891.38x = 243,780,298,516.27
  5. Step 5: Solve for x
    x = 243,780,298,516.27/318,891.38
  6. Step 6: Final answer
    x = 764,461.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.