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Finding the Third Proportional to 391,600 and 565,356

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Solution

The third proportional to 391,600 and 565,356 is: 816,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,600 : 565,356 = 565,356 : x
  2. Step 2: Convert to fraction form
    391,600/565,356 = 565,356/x
  3. Step 3: Cross multiply
    391,600x = 565,356 × 565,356
  4. Step 4: Simplify right side
    391,600x = 319,627,406,736
  5. Step 5: Solve for x
    x = 319,627,406,736/391,600
  6. Step 6: Final answer
    x = 816,208.90

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