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Finding the Third Proportional to 219,932 and 306,935

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Solution

The third proportional to 219,932 and 306,935 is: 428,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,932 : 306,935 = 306,935 : x
  2. Step 2: Convert to fraction form
    219,932/306,935 = 306,935/x
  3. Step 3: Cross multiply
    219,932x = 306,935 × 306,935
  4. Step 4: Simplify right side
    219,932x = 94,209,094,225
  5. Step 5: Solve for x
    x = 94,209,094,225/219,932
  6. Step 6: Final answer
    x = 428,355.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.