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Finding the Third Proportional to 166,066 and 256,465

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Solution

The third proportional to 166,066 and 256,465 is: 396,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,066 : 256,465 = 256,465 : x
  2. Step 2: Convert to fraction form
    166,066/256,465 = 256,465/x
  3. Step 3: Cross multiply
    166,066x = 256,465 × 256,465
  4. Step 4: Simplify right side
    166,066x = 65,774,296,225
  5. Step 5: Solve for x
    x = 65,774,296,225/166,066
  6. Step 6: Final answer
    x = 396,073.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.