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Finding the Third Proportional to 469,706 and 727,456

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Solution

The third proportional to 469,706 and 727,456 is: 1,126,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,706 : 727,456 = 727,456 : x
  2. Step 2: Convert to fraction form
    469,706/727,456 = 727,456/x
  3. Step 3: Cross multiply
    469,706x = 727,456 × 727,456
  4. Step 4: Simplify right side
    469,706x = 529,192,231,936
  5. Step 5: Solve for x
    x = 529,192,231,936/469,706
  6. Step 6: Final answer
    x = 1,126,645.67

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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.