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Finding the Third Proportional to 166,689 and 359,440

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Solution

The third proportional to 166,689 and 359,440 is: 775,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,689 : 359,440 = 359,440 : x
  2. Step 2: Convert to fraction form
    166,689/359,440 = 359,440/x
  3. Step 3: Cross multiply
    166,689x = 359,440 × 359,440
  4. Step 4: Simplify right side
    166,689x = 129,197,113,600
  5. Step 5: Solve for x
    x = 129,197,113,600/166,689
  6. Step 6: Final answer
    x = 775,078.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.