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Finding the Third Proportional to 379,312 and 569,976

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Solution

The third proportional to 379,312 and 569,976 is: 856,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,312 : 569,976 = 569,976 : x
  2. Step 2: Convert to fraction form
    379,312/569,976 = 569,976/x
  3. Step 3: Cross multiply
    379,312x = 569,976 × 569,976
  4. Step 4: Simplify right side
    379,312x = 324,872,640,576
  5. Step 5: Solve for x
    x = 324,872,640,576/379,312
  6. Step 6: Final answer
    x = 856,478.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.