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Finding the Third Proportional to 331,140 and 512,624

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Solution

The third proportional to 331,140 and 512,624 is: 793,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,140 : 512,624 = 512,624 : x
  2. Step 2: Convert to fraction form
    331,140/512,624 = 512,624/x
  3. Step 3: Cross multiply
    331,140x = 512,624 × 512,624
  4. Step 4: Simplify right side
    331,140x = 262,783,365,376
  5. Step 5: Solve for x
    x = 262,783,365,376/331,140
  6. Step 6: Final answer
    x = 793,571.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.