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Finding the Third Proportional to 68,273 and 148,530

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Solution

The third proportional to 68,273 and 148,530 is: 323,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,273 : 148,530 = 148,530 : x
  2. Step 2: Convert to fraction form
    68,273/148,530 = 148,530/x
  3. Step 3: Cross multiply
    68,273x = 148,530 × 148,530
  4. Step 4: Simplify right side
    68,273x = 22,061,160,900
  5. Step 5: Solve for x
    x = 22,061,160,900/68,273
  6. Step 6: Final answer
    x = 323,131.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.