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Finding the Third Proportional to 166,155 and 257,768

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Solution

The third proportional to 166,155 and 257,768 is: 399,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,155 : 257,768 = 257,768 : x
  2. Step 2: Convert to fraction form
    166,155/257,768 = 257,768/x
  3. Step 3: Cross multiply
    166,155x = 257,768 × 257,768
  4. Step 4: Simplify right side
    166,155x = 66,444,341,824
  5. Step 5: Solve for x
    x = 66,444,341,824/166,155
  6. Step 6: Final answer
    x = 399,893.72

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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.