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Finding the Third Proportional to 391,572 and 565,318

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Solution

The third proportional to 391,572 and 565,318 is: 816,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,572 : 565,318 = 565,318 : x
  2. Step 2: Convert to fraction form
    391,572/565,318 = 565,318/x
  3. Step 3: Cross multiply
    391,572x = 565,318 × 565,318
  4. Step 4: Simplify right side
    391,572x = 319,584,441,124
  5. Step 5: Solve for x
    x = 319,584,441,124/391,572
  6. Step 6: Final answer
    x = 816,157.54

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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.