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Finding the Third Proportional to 391,576 and 565,324

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Solution

The third proportional to 391,576 and 565,324 is: 816,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,576 : 565,324 = 565,324 : x
  2. Step 2: Convert to fraction form
    391,576/565,324 = 565,324/x
  3. Step 3: Cross multiply
    391,576x = 565,324 × 565,324
  4. Step 4: Simplify right side
    391,576x = 319,591,224,976
  5. Step 5: Solve for x
    x = 319,591,224,976/391,576
  6. Step 6: Final answer
    x = 816,166.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.