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Finding the Third Proportional to 477,962 and 649,515

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Solution

The third proportional to 477,962 and 649,515 is: 882,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,962 : 649,515 = 649,515 : x
  2. Step 2: Convert to fraction form
    477,962/649,515 = 649,515/x
  3. Step 3: Cross multiply
    477,962x = 649,515 × 649,515
  4. Step 4: Simplify right side
    477,962x = 421,869,735,225
  5. Step 5: Solve for x
    x = 421,869,735,225/477,962
  6. Step 6: Final answer
    x = 882,642.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.