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Finding the Third Proportional to 396,428 and 565,116

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Solution

The third proportional to 396,428 and 565,116 is: 805,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,428 : 565,116 = 565,116 : x
  2. Step 2: Convert to fraction form
    396,428/565,116 = 565,116/x
  3. Step 3: Cross multiply
    396,428x = 565,116 × 565,116
  4. Step 4: Simplify right side
    396,428x = 319,356,093,456
  5. Step 5: Solve for x
    x = 319,356,093,456/396,428
  6. Step 6: Final answer
    x = 805,584.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.