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Finding the Third Proportional to 288,946 and 383,503

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Solution

The third proportional to 288,946 and 383,503 is: 509,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,946 : 383,503 = 383,503 : x
  2. Step 2: Convert to fraction form
    288,946/383,503 = 383,503/x
  3. Step 3: Cross multiply
    288,946x = 383,503 × 383,503
  4. Step 4: Simplify right side
    288,946x = 147,074,551,009
  5. Step 5: Solve for x
    x = 147,074,551,009/288,946
  6. Step 6: Final answer
    x = 509,003.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.