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Finding the Third Proportional to 391,536 and 565,272

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Solution

The third proportional to 391,536 and 565,272 is: 816,099.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,536 : 565,272 = 565,272 : x
  2. Step 2: Convert to fraction form
    391,536/565,272 = 565,272/x
  3. Step 3: Cross multiply
    391,536x = 565,272 × 565,272
  4. Step 4: Simplify right side
    391,536x = 319,532,433,984
  5. Step 5: Solve for x
    x = 319,532,433,984/391,536
  6. Step 6: Final answer
    x = 816,099.76

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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.