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Finding the Third Proportional to 477,631 and 649,010

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Solution

The third proportional to 477,631 and 649,010 is: 881,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,631 : 649,010 = 649,010 : x
  2. Step 2: Convert to fraction form
    477,631/649,010 = 649,010/x
  3. Step 3: Cross multiply
    477,631x = 649,010 × 649,010
  4. Step 4: Simplify right side
    477,631x = 421,213,980,100
  5. Step 5: Solve for x
    x = 421,213,980,100/477,631
  6. Step 6: Final answer
    x = 881,881.58

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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.