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Finding the Third Proportional to 68,307 and 148,278

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Solution

The third proportional to 68,307 and 148,278 is: 321,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,307 : 148,278 = 148,278 : x
  2. Step 2: Convert to fraction form
    68,307/148,278 = 148,278/x
  3. Step 3: Cross multiply
    68,307x = 148,278 × 148,278
  4. Step 4: Simplify right side
    68,307x = 21,986,365,284
  5. Step 5: Solve for x
    x = 21,986,365,284/68,307
  6. Step 6: Final answer
    x = 321,875.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.