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Finding the Third Proportional to 166,828.50 and 258,536.81

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Solution

The third proportional to 166,828.50 and 258,536.81 is: 400,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,828.50 : 258,536.81 = 258,536.81 : x
  2. Step 2: Convert to fraction form
    166,828.50/258,536.81 = 258,536.81/x
  3. Step 3: Cross multiply
    166,828.50x = 258,536.81 × 258,536.81
  4. Step 4: Simplify right side
    166,828.50x = 66,841,283,417.66
  5. Step 5: Solve for x
    x = 66,841,283,417.66/166,828.50
  6. Step 6: Final answer
    x = 400,658.66

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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.