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Finding the Third Proportional to 136,767 and 219,748

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Solution

The third proportional to 136,767 and 219,748 is: 353,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,767 : 219,748 = 219,748 : x
  2. Step 2: Convert to fraction form
    136,767/219,748 = 219,748/x
  3. Step 3: Cross multiply
    136,767x = 219,748 × 219,748
  4. Step 4: Simplify right side
    136,767x = 48,289,183,504
  5. Step 5: Solve for x
    x = 48,289,183,504/136,767
  6. Step 6: Final answer
    x = 353,076.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.