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Finding the Third Proportional to 148,932 and 321,186

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Solution

The third proportional to 148,932 and 321,186 is: 692,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,932 : 321,186 = 321,186 : x
  2. Step 2: Convert to fraction form
    148,932/321,186 = 321,186/x
  3. Step 3: Cross multiply
    148,932x = 321,186 × 321,186
  4. Step 4: Simplify right side
    148,932x = 103,160,446,596
  5. Step 5: Solve for x
    x = 103,160,446,596/148,932
  6. Step 6: Final answer
    x = 692,668.11

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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.