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Finding the Third Proportional to 166,457 and 260,842

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Solution

The third proportional to 166,457 and 260,842 is: 408,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,457 : 260,842 = 260,842 : x
  2. Step 2: Convert to fraction form
    166,457/260,842 = 260,842/x
  3. Step 3: Cross multiply
    166,457x = 260,842 × 260,842
  4. Step 4: Simplify right side
    166,457x = 68,038,548,964
  5. Step 5: Solve for x
    x = 68,038,548,964/166,457
  6. Step 6: Final answer
    x = 408,745.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.