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Finding the Third Proportional to 166,617 and 258,066

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Solution

The third proportional to 166,617 and 258,066 is: 399,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,617 : 258,066 = 258,066 : x
  2. Step 2: Convert to fraction form
    166,617/258,066 = 258,066/x
  3. Step 3: Cross multiply
    166,617x = 258,066 × 258,066
  4. Step 4: Simplify right side
    166,617x = 66,598,060,356
  5. Step 5: Solve for x
    x = 66,598,060,356/166,617
  6. Step 6: Final answer
    x = 399,707.47

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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.