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Finding the Third Proportional to 166,090.50 and 257,671.13

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Solution

The third proportional to 166,090.50 and 257,671.13 is: 399,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,090.50 : 257,671.13 = 257,671.13 : x
  2. Step 2: Convert to fraction form
    166,090.50/257,671.13 = 257,671.13/x
  3. Step 3: Cross multiply
    166,090.50x = 257,671.13 × 257,671.13
  4. Step 4: Simplify right side
    166,090.50x = 66,394,408,658.77
  5. Step 5: Solve for x
    x = 66,394,408,658.77/166,090.50
  6. Step 6: Final answer
    x = 399,748.38

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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.