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Finding the Third Proportional to 151,397 and 318,477

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Solution

The third proportional to 151,397 and 318,477 is: 669,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,397 : 318,477 = 318,477 : x
  2. Step 2: Convert to fraction form
    151,397/318,477 = 318,477/x
  3. Step 3: Cross multiply
    151,397x = 318,477 × 318,477
  4. Step 4: Simplify right side
    151,397x = 101,427,599,529
  5. Step 5: Solve for x
    x = 101,427,599,529/151,397
  6. Step 6: Final answer
    x = 669,944.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.