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Finding the Third Proportional to 288,664 and 415,806

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Solution

The third proportional to 288,664 and 415,806 is: 598,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,664 : 415,806 = 415,806 : x
  2. Step 2: Convert to fraction form
    288,664/415,806 = 415,806/x
  3. Step 3: Cross multiply
    288,664x = 415,806 × 415,806
  4. Step 4: Simplify right side
    288,664x = 172,894,629,636
  5. Step 5: Solve for x
    x = 172,894,629,636/288,664
  6. Step 6: Final answer
    x = 598,947.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.