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Finding the Third Proportional to 147,455 and 319,876

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Solution

The third proportional to 147,455 and 319,876 is: 693,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,455 : 319,876 = 319,876 : x
  2. Step 2: Convert to fraction form
    147,455/319,876 = 319,876/x
  3. Step 3: Cross multiply
    147,455x = 319,876 × 319,876
  4. Step 4: Simplify right side
    147,455x = 102,320,655,376
  5. Step 5: Solve for x
    x = 102,320,655,376/147,455
  6. Step 6: Final answer
    x = 693,911.06

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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.