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Finding the Third Proportional to 149,500 and 318,376

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Solution

The third proportional to 149,500 and 318,376 is: 678,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,500 : 318,376 = 318,376 : x
  2. Step 2: Convert to fraction form
    149,500/318,376 = 318,376/x
  3. Step 3: Cross multiply
    149,500x = 318,376 × 318,376
  4. Step 4: Simplify right side
    149,500x = 101,363,277,376
  5. Step 5: Solve for x
    x = 101,363,277,376/149,500
  6. Step 6: Final answer
    x = 678,015.23

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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.