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Finding the Third Proportional to 298,962 and 436,932

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Solution

The third proportional to 298,962 and 436,932 is: 638,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,962 : 436,932 = 436,932 : x
  2. Step 2: Convert to fraction form
    298,962/436,932 = 436,932/x
  3. Step 3: Cross multiply
    298,962x = 436,932 × 436,932
  4. Step 4: Simplify right side
    298,962x = 190,909,572,624
  5. Step 5: Solve for x
    x = 190,909,572,624/298,962
  6. Step 6: Final answer
    x = 638,574.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.