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Finding the Third Proportional to 211,761 and 318,113

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Solution

The third proportional to 211,761 and 318,113 is: 477,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,761 : 318,113 = 318,113 : x
  2. Step 2: Convert to fraction form
    211,761/318,113 = 318,113/x
  3. Step 3: Cross multiply
    211,761x = 318,113 × 318,113
  4. Step 4: Simplify right side
    211,761x = 101,195,880,769
  5. Step 5: Solve for x
    x = 101,195,880,769/211,761
  6. Step 6: Final answer
    x = 477,877.80

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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.