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Finding the Third Proportional to 252,006 and 389,910

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Solution

The third proportional to 252,006 and 389,910 is: 603,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,006 : 389,910 = 389,910 : x
  2. Step 2: Convert to fraction form
    252,006/389,910 = 389,910/x
  3. Step 3: Cross multiply
    252,006x = 389,910 × 389,910
  4. Step 4: Simplify right side
    252,006x = 152,029,808,100
  5. Step 5: Solve for x
    x = 152,029,808,100/252,006
  6. Step 6: Final answer
    x = 603,278.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.