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Finding the Third Proportional to 285,336 and 382,608

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Solution

The third proportional to 285,336 and 382,608 is: 513,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,336 : 382,608 = 382,608 : x
  2. Step 2: Convert to fraction form
    285,336/382,608 = 382,608/x
  3. Step 3: Cross multiply
    285,336x = 382,608 × 382,608
  4. Step 4: Simplify right side
    285,336x = 146,388,881,664
  5. Step 5: Solve for x
    x = 146,388,881,664/285,336
  6. Step 6: Final answer
    x = 513,040.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.