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Finding the Third Proportional to 211,956.75 and 318,345.19

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Solution

The third proportional to 211,956.75 and 318,345.19 is: 478,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,956.75 : 318,345.19 = 318,345.19 : x
  2. Step 2: Convert to fraction form
    211,956.75/318,345.19 = 318,345.19/x
  3. Step 3: Cross multiply
    211,956.75x = 318,345.19 × 318,345.19
  4. Step 4: Simplify right side
    211,956.75x = 101,343,658,404.41
  5. Step 5: Solve for x
    x = 101,343,658,404.41/211,956.75
  6. Step 6: Final answer
    x = 478,133.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.