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Finding the Third Proportional to 288,368 and 385,734

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Solution

The third proportional to 288,368 and 385,734 is: 515,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,368 : 385,734 = 385,734 : x
  2. Step 2: Convert to fraction form
    288,368/385,734 = 385,734/x
  3. Step 3: Cross multiply
    288,368x = 385,734 × 385,734
  4. Step 4: Simplify right side
    288,368x = 148,790,718,756
  5. Step 5: Solve for x
    x = 148,790,718,756/288,368
  6. Step 6: Final answer
    x = 515,975.14

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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.