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Finding the Third Proportional to 298,938 and 436,911

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Solution

The third proportional to 298,938 and 436,911 is: 638,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,938 : 436,911 = 436,911 : x
  2. Step 2: Convert to fraction form
    298,938/436,911 = 436,911/x
  3. Step 3: Cross multiply
    298,938x = 436,911 × 436,911
  4. Step 4: Simplify right side
    298,938x = 190,891,221,921
  5. Step 5: Solve for x
    x = 190,891,221,921/298,938
  6. Step 6: Final answer
    x = 638,564.59

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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.