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Finding the Third Proportional to 138,767 and 295,273

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Solution

The third proportional to 138,767 and 295,273 is: 628,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,767 : 295,273 = 295,273 : x
  2. Step 2: Convert to fraction form
    138,767/295,273 = 295,273/x
  3. Step 3: Cross multiply
    138,767x = 295,273 × 295,273
  4. Step 4: Simplify right side
    138,767x = 87,186,144,529
  5. Step 5: Solve for x
    x = 87,186,144,529/138,767
  6. Step 6: Final answer
    x = 628,291.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.