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Finding the Third Proportional to 166,312 and 261,088

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Solution

The third proportional to 166,312 and 261,088 is: 409,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,312 : 261,088 = 261,088 : x
  2. Step 2: Convert to fraction form
    166,312/261,088 = 261,088/x
  3. Step 3: Cross multiply
    166,312x = 261,088 × 261,088
  4. Step 4: Simplify right side
    166,312x = 68,166,943,744
  5. Step 5: Solve for x
    x = 68,166,943,744/166,312
  6. Step 6: Final answer
    x = 409,873.87

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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.