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Finding the Third Proportional to 133,353 and 288,846

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Solution

The third proportional to 133,353 and 288,846 is: 625,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,353 : 288,846 = 288,846 : x
  2. Step 2: Convert to fraction form
    133,353/288,846 = 288,846/x
  3. Step 3: Cross multiply
    133,353x = 288,846 × 288,846
  4. Step 4: Simplify right side
    133,353x = 83,432,011,716
  5. Step 5: Solve for x
    x = 83,432,011,716/133,353
  6. Step 6: Final answer
    x = 625,647.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.